Rezolvari fizica mecanica subiectul II

Ministerul Educaţiei Cercetării şi Tineretului Centrul Naţional pentru Curriculum şi Evaluare icircn Icircnvăţămacircntul Preuniversitar

Varianta 001

Subiectul A MECANICĂ

IIa reprezentarea corectă a greutăţilor tensiunii icircn fir forţei de frecare şi reacţiunii planului b NFgmGgmG f micro=== 2211 amTG 22 =minus amFT f 1=minus 01 =minusGN Rezultat final 22 sma = c amGT 22 minus= Rezultat final NT 80= d

a∆∆=

Rezultat final st 2=∆ e 02 =minusminus GFF f sau orice relaţie echivalentă

Rezultat final NF 41=

Varianta 002

II a ct FG = αmicroα cossin mgmg = microα arctg= Rezultat final 030=α b dFL cf sdotminus= Rezultat final JLf 4minus=

c reprezentarea corectă a forţei de tracţiune greutăţii forţei de frecare reacţiunii planului d maFGF ct =minusminus ( )αsin2gamF += Rezultat final NF 26=

Varianta 003

Nr Item Soluţie rezolvare IIa Figurarea componentelor greutăţii Figurarea forţei de frecare b Gp = 15 kN Gn = 20 kN Ff = 4 kN c N = 16 kN Ff = microN micro = 025 d Figura corectă Frsquof = 200 N e Grsquop minus Frsquof = mrsquoa a = 4 ms2

Varianta 004

IIa reprezentarea corectă a greutăţii corpurilor forţelor de tensiune forţei care acţionează asupra scripetelui b Tgmam minus= 22

gmTam 11 minus=

+minus

Rezultat final 2

Rezultat final N 403T = d TF 2=

Rezultat final NT380=

Varianta 005 Subiectul A MECANICĂ

∆∆=

Rezultat final 22 sma =

b reprezentarea corectă a forţelor

de greutate de apăsare pe normală

de frecare c

mgN = Rezultat final NN 20= d

amGFNF f =+++

mamgF =minus micro

Rezultat final 30=micro e

∆=micro

Rezultat final 501 =micro

Varianta 006

IIa gmG AA =

Rezultat final kgg

A 30==

b reprezentarea corectă a greutăţilor corpurilor şi componentelor greutăţii pe plan icircnclinat tensiunii din fir reacţiunii planului icircnclinat c

=minus=minus

Rezultat final kg

m AB 150sin == α

d αsinAGT = Rezultat final NT 51=

e amG AA =αsin Rezultat final 25sin smga == α

IIa mgG = Rezultat final NG 1000= b ( )gamF micro+= Rezultat final NF 300= c

F12sin =α

21 90 αα minusdeg= Rezultat final deg=deg= 3060 21 αα

d ga microminus= Rezultat final 22 sma minus=

Varianta 008

IIa reprezentarea corectă a greutăţii reacţiunii planului forţei de frecare b cosnG G ϕ= sdot

sintG G ϕ= sdot

tgmicro ϕ=

Rezultat final 3

3micro =

c 0N = sinF Gαsdot =

Rezultat final

xm a F Nmicrosdot = minus sdot

yN m g F= sdot minus

(cos sin )Fa g

α micro α micro+= minus

Rezultat final

IIa FG =αsin Rezultat final deg= 30α b reprezentarea corectă a greutatăţii forţei de frecare reacţiunii planului c αcosmgN = Rezultat final αmicromicro cosmgNFf =sdot=

d amFGF f =++ maFGF ft =minusminus ( ) mamgF ++= αmicroα cossin Rezultat final NF 100=

Varianta 010

IIa reprezentarea corectă a tuturor forţelor ce acţionează asupra sistemului b legea a II-a a dinamicii amTgmF 11 =-- micro şi amgmgmT 222 cossin =αmicroα -- expresia acceleraţiei )(])cos(sin[ 2121 mmgmmFa +++= αmicroαmicro- Rezultat final 270 sma cong c expresia tensiunii din fir amgmFT 11 -- micro= Rezultat final NT 64= d expresia forţei de apăsare icircn scripete TTF += 2TF =

Rezultate finale NF 561 cong

Varianta 011

Subiectul A MECANICĂ IIa mgG = Rezultat final NG 200= b reprezentarea corectă a greutatăţii forţei de frecare forţei F cu componentele sale reacţiunii planului c )( αmicro sinFmgFf minus=

Rezultat final )(

Fa microαmicroα minus+= sincos

Rezultat final 2

e tav ∆=

Rezultat final sm

v 745=

Varianta 012

IIa 0vtt 1 =rarr= Rezultat final s3t1 =

b tva ∆∆= cacircnd 0t rarr∆ )t(v)tt(vv minus+= ∆∆ Rezultat final 2sm2a minus= c fFma minus= NFf micro= mgGN == Rezultat final 20=micro

d 1mtvd = 2)vv(v fim += (variaţie liniară) 0vsm6vv f0i === Rezultat final m9d =

Varianta 013

Nr Item Soluţie rezolvare IIa Componenta paralelă cu planul a greutăţii Componenta normală pe plan a greutăţii Forţa de frecare b Gp = G sin α Gn = G cos α (unde G = mg = 20 000 N sau 20 kN) Gp = 06 G = 12 kN Gn = 08 G = 16 kN Ff = T minus Gp Ff = 4 kN c Figurarea corectă a forţei de frecare d

fF N= micro

4 kN025

16 kNmicro = =

Ff = 125 N e Trsquo = Gp minus Frsquof Ff = 375 N

IIa reprezentare corecta a tensiunilor din fir Reprezentare corecta a normalei si a greutatilor b R= 2T T=G2 Rezultat final R = 80N c NTGF +=+ 1 N = F + G1 ndash G2 Rezultat final N = 40 N d G2gtG1

Rezultat final La eliberarea sistemului corpul 1 va urca accelerat e 11 2TR = ( ) 1221 GGamm minus=+ )(21 agmT minus= Rezultat final R1 = 32 N

Varianta 015

IIa αcos22 FF x = Rezultat final 12 FF x lt deci corpul se deplasează spre stacircnga

b lkF ∆=1 Rezultat final ml 030=∆

c maFF x =minus 21 GFN y =+ 2

αsin22 FF y =

Rezultat final 21 sma = d

yFGN 2minus=

Rezultat final NN 511= e 0=N αsin

Rezultat final NF 6222 =

Varianta 016

II a reprezentarea corectă a reacţiunii normale a peretelui greutăţii forţei de frecare b αcosFdL = Rezultat final JL 18=

c maFmgF c =minusminusαcos Rezultat final NFc 36=

d NFc micro= αsinFN = Rezultat final 290321 cong=micro e răspuns corect - acceleraţia corpului creşte justificarea răspunsului

Varianta 017

IIa reprezentarea corectă a greutăţilor reacţiunii corpului de masă m tensiunii b

1 2G G Mg= =

3G mg=

Rezultat final

c Ma Mg f T

Ma T Mg

ma mg f

= + minus= minus= minus

Rezultat final

Rezultat final 019f N e ( )2

M M mT g

Rezultat final 209T N

Varianta 018

IIa Reprezentarea forţelor de greutate forţelor de tensiune forţei indicate de dinamometru b gmG sdot= 11 şi gmG sdot= 22 gmTam sdotminus=sdot 11 Tgmam minussdot=sdot 22

+minus

Rezultat final 25 sma = c

minusminus

( )Tmmgmm 21212 +=

mmT sdot

Rezultat final NT 15= d TF sdot= 2 Rezultat final NT 30=

IIa reprezentarea corectă a forţelor 0=+ eFT lkT prime∆= Rezultat final NT 40= b lkFe ∆= lkT ∆=1 Rezultat final ml 40=∆ c mgG = Rezultat final NG 10= d 0=++ GFN e lkmgN ∆minus= Rezultat final NN 2= e GFT e =Prime=1 Rezultat final NT 101 =

Varianta 020

IIa reprezentarea corectă a tuturor forţelor componentele forţei F greutatea reacţiunea normală frecarea b amFNGF f =+++

=minus+=minus

maFF f

( )αmicromicro sinFmgNFf minus== ( )

αmicroαmicrosincos +

+= gamF

NF 556=

c 0sin leminus= αFmgN

αsinmg

Rezultat final NF 40min =

d precizarea că icircn absenţa apăsării dispare frecarea αcosFma =

Rezultat final 2

317310coss

a cong===α

Varianta 021

IIa Reprezentarea corectă a forţelor ce acţionează asupra corpului A forţelor ce acţionează asupra corpului B

forţelor ce acţionează asupra corpului C b amTgm AB 22 =minus

amgmTT ACAB 11 =minusminus micro

amgmTAC 33 =minus

++minusminus

=micro

Rezultat final 253 sma = c ( )agmTAB minus= 2 Rezultat final NTAB 532=

mm minus=micro

Varianta 022

tva ∆

Rezultat final st 20=∆ b F minus Ff = m a F = n m a (nminus1) rezultat final F = 30 N c grafic corect Rezultat final atg =α

d vvv crel minus=

vrel =

Rezultat final T= 5s e

Rezultat final sT 521 =

Varianta 023

Nr Item Soluţie rezolvare IIa G = mg R = 25103 N sau 25 kN b T = R T = 25103 N sau 25 kN c Reprezentarea corectă a forţelor sau altă justificare corectă Ft = 2 R sau 2 mg Ft = 5103 N sau 5 kN d P = F v v = 20 ms v = 72 kmh e T = m(025 g + a) T = 4103 N sau 4 kN

Varianta 024

IIa G mg=

Rezultat final 5G N= b reprezentarea corectă a greutăţii reacţiunii corpului de masă m forţei elastice c

l lα =

l α∆ = minus

Rezultat final

d coseN G F α= minus sdot

eF k l= ∆

Rezultat final 45N N=

N mg F

F Nmicro

= minus

= sdot

G Fmicro =

Rezultat final 019micro =

Varianta 025

Subiectul A MECANICĂ IIa mgG = Rezultat final NG 10= b reprezentarea corectă a greutatăţii forţei elastice c GFma minus= )( gamF += Rezultat final NF 810= d lkF ∆=

Rezultat final

k 540=

e GF = Rezultat final NF 10=

Varianta 026

II a reprezentarea forţelor ce acţionează asupra sistemului principiul II al dinamicii pentru sac mamgT =minus pentru muncitor FT =

aminus=

Rezultat final 2521 sma = b Reprezentarea forţelor ce acţionează asupra omului Observaţia că forţa de apăsare este egală cu reacţiunea planului asupra omului TNG += FGN minus= Rezultat numeric NN 50=

c amgmT =minus

)( agmT += Rezultat numeric NT 450 =

Varianta 027

IIa αsinFgmN 11 minus= gmN 22 = NNN 21 == Rezultat final 030=α b NFf micro= Rezultat final N6FFF f2f1f ===

c f21 F2cosFa)mm( minus=+ α Rezultat final 2sm761a cong d amFcosFFamT 1ff2 minusminus=+= α Rezultat final N767T cong

IIa Reprezentare corecta a greutatilor si a normalelor Reprezentare corecta a tensiunilor si a fortelor de frecare b RC = 0 rarr TBC = FfC TBC = microGC

Rezultat final TBC = 10 N c BfB NF micro= deg= 30cosBfB GF micro Rezultat final NNFfB 66835 ==

d fBBCtBAB FTGT ++=

ABA TG =

Rezultat final kgmA 873=

e AfBtB GFG lt=+ 6628 sistemul se misca accelerat ammFGG BAfBtBA )( +=minusminus amGT AAAB minus= Rezultat final NTAB 7633 =

Varianta 029

IIa reprezentarea corectă a greutăţilor tensiuniii icircn fir reacţiunii planului b amTG t 22 =minus 022 =minus nGN amGT t 11 =minus 011 =minus nGN αβ sinsin 1122 gmGgmG tt == Rezultat final 2460 sma = c

a∆∆=

Rezultat final smv 32= d ( )agmT minus= βsin2 2TF = Rezultat final NF 123=

Varianta 030

II a mgG = Rezultat final kgm 80=

b reprezentarea corectă a greutăţii reacţiunii normale forţei de frecare c ecuaţia principiului fundamental al dinamicii maFF c =minusαcos mişcare rectilinie uniformă 0=rArr a Rezultat final NNFc 46332 cong=

d NFc micro= αsinFGN minus=

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

b ( )2 1 0m g k l l= minus

( )1 0 2m g k l l= minus

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Rezultat final 0 25l cm=

Varianta 032

IIa reprezentarea forţelor de greutate tG nG descompunerea lui F icircn xF şi yF

reacţiunii la plan N forţei de frecare fF

b αcossdot= FFx şi αsinsdot= FFy

αsinsdotsdot= gmGt şi αcossdotsdot= gmGn αα sincos sdot+sdotsdot=+= FgmFGN yn

Rezultat final NN 35= c tfx GFF += txf GFF minus= αα sincos sdotsdotminussdot= gmFFf Rezultat final NFf 35=

NFf sdot= micro sau ααααmicro

sincossincos

sdot+sdotsdotsdotsdotminussdot==

FgmgmF

Rezultat final

73=micro

Varianta 033

Nr Item Soluţie rezolvare IIa diagrama forţelor care acţionează asupra paraşutistului b amR =

makvmg =minus

0vkmg sdot=

0vmgk =

Rezultat final skg120k =

d gmkva +minus=

Rezultat final 2ms2a minus=

IIa mgG = Rezultat final NG 619= b reprezentarea corectă a forţei de greutate reprezentarea corectă a forţei de frecare la alunecare reprezentarea corectă a forţei de apăsare pe normală c amFNFG f =+++

maFG =minus maGFf minus=

Rezultat final NFf 617=

d FN = FFf micro=

Rezultat final 240congmicro

Varianta 035

IIa αsinmgGt = αcosmgGn = NGt 5= NGn 7835 cong=

b amFNG f =++

=minus=minus

αmicromicro cosmgNFf == ( )αmicroα cossin minus= ga Rezultat final 282 sma =

c Condiţia de echilibru 0=minus+ tf GFF ( )αmicroα cossinmin minus= mgF Rezultat final NF 82min =

d Condiţia de echilibru 0=minusminus tf GFF ( )αmicroα cossinmax += mgF Rezultat final NF 27min =

Varianta 036

IIa Reprezentarea forţelor ce acţionează asupra corpurilor b amTF 111 cos =minusα amFT 222 cos =minus α

2211 coscos

+minus

Rezultat final 2212 sma = c 0sin 1

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Rezultat final 221 1

Varianta 037

Nr Item Soluţie rezolvare II a maxTF =

1001010 =+t Rezultat final st 9= b [ ]st 90isin tensiunea creşte liniar de la valoarea zero la maxT

Grafic corect c NFf micro=

mgN = Rezultat final NFf 100=

d maFF f =minus

maNt =minus+ micro1010

amicrominus+= 1010

unde st 10=

IIa reprezentarea corectă a greutatăţii a componentelor forţei F b reprezentarea corectă a componentelor forţei F a reacţiunii planului a forţei de frecare c αsin11 FGN minus= αsin22 FGN +=

d maFF f =minus 11 cosα maNF =minus 1cos microα ( ) ( )gamF microαmicroα +=minus sincos1 ( ) ( )gamF microαmicroα +=+ sincos2 Rezultat final 2F mai mare decacirct 1F

e ESFl0=∆ Rezultat final m510113 minussdotcong∆

IIa mgG = Rezultat final NG 20= b reprezentarea corectă a greutăţilor forţei de frecare tensiunii icircn fir reacţiunii planului c αsinMgGt = αmicro cosMgFf =

++minus= )cos(sin αmicroα

Rezultat final 2

d mamgT minus=

++= )cossin1( αmicroα

Rezultat final NT 18=

Varianta 040

II a legea a doua a dinamicii 11

sin maFG f =minusα şi αcos1 GN =

)cos(sin1 αmicroα minus= ga Rezultat final 2

1 24 sma =

maFf =minus şi GN =2

ga micro22 minus= Rezultat final 2

2 4 sma minus=

∆minus=

21 ttt ∆+∆=∆ Rezultat final st 2674=∆ d Teorema variaţiei energiei cinetice cop Emgd minus=minus 02micro

gvdop micro42=

Rezultat final mdop 512=

IIa Reprezentarea corecta a componentelor greutatilor Reprezentarea normalelor si a fortelor de frecare Reprezentarea corecta a tensiunii in fir b gmGgmG 2211 == Rezultat final NGNG 8040 21 ==

c ( )ammR 21 += ( )ammFFGG fftt 212121 +=minusminus+ αmicroαmicro coscos gmFgmF ff 222111 == αα sinsin gmGgmG tt 2211 ==

Rezultat final 22

ma cong=

d amFGT ft 222 =minus+ sau echivalent

e rarr= 0fF fortele exterioare care actioneaza asupra sistemului sunt 21 tt GG 12 tt GG gt Rezultat final T=0 firul este netensionat

Varianta 042

Nr Item Soluţie rezolvare IIa

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

c legea mişcării rectilinii uniforme

6 mint∆ = hhmm = 1201 d 9 kmMd =

45 kmNd =

45 kmPd =

e Alura corectă a graficelor Precizarea valorilor numerice

Varianta 043

IIa amTFG ft 22 =minusminus 0=minus nGN amGT 11 =minus αsin22 gmG t = cos2 αmicro gmFf = gmG 11 =

Rezultat final 202

b amTG 11 =minus amFGT ft 22 =minusminus 0=minus nGN

Rezultat final 2

c ( )agmT minus= 1 Rezultat final NT 525= d

a∆∆=

v m ∆∆=

Rezultat final mx 51=∆

Varianta 044

b reprezentarea corectă a greutăţii reacţiunii normale tensiunii din fir c αsinGGt = TGF t =+αcos Rezultat final NT 35=

d αα sincos FGN minus= 0=N cacircnd maxFF = Rezultat final NF 269max cong

Varianta 045

IIa 11 GN0 minus= 11f NF micro= Rezultat final N2F 1f =

b 1f1 FTam minus= TGam 22 minus= Rezultat final 2sm251a = c )ga(m)ag(mT 12 micro+=minus= Rezultat final N6252T = d 2TF = Rezultat final N703F cong e tva ∆∆= atv = ( 0v0t 00 =rarr= ) Rezultat final sm5v =

Varianta 046

IIa reprezentarea corectă a greutatăţii normalei la plan forţei de frecare proiecţiilor lui F pe axe b αcossdot= FFx αsinsdot= FFy

fx FF = αtgFF fy sdot=

Rezultat final NFx 310= NFy 10=

c GFN y =+

yFGN minus=

Rezultat final NN 30= d NFf sdot= micro

Ff=micro

Rezultat final

1=micro

e fx FFam minus=sdot

Varianta 047

Nr Item Soluţie rezolvare IIa reprezentarea corectă forţa de greutate forţa de reacţiune normală

forţa rarr

forţa de frecare b ft FFG += 1

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

Rezultat final 170=micro

c maFG ft =minus

( )αmicroα cossin minus= ga

d tav ∆sdot= Rezultat final smv 517=

IIa reprezentarea corectă a forţelor 0=minus fFF

b NFf micro=

GN = Rezultat final 50=micro c maFF f =primeminus

F minus=primemicro

Rezultat final 30=primemicro d maFF f =minusprime

Rezultat final NF 7=prime

Varianta 049

IIa mgG = NG 1=

b Precizarea că panta graficului este numeric egală cu constanta elastică

k∆∆=

Rezultat final mNk 50=

c Condiţia de echilibru 0=+ eFG kymg =

Rezultat final my 020=

d Condiţia de echilibru 0=++ inertiee FFG mamgky =minus

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Rezultat final 25 sma = b ( )gamT += 1 Rezultat final NT 51= c TF 2=

∆= kF Rezultat final cm51=∆ d ( )ascagmF minus= 1 Rezultat final NF 90=

Varianta 051

IIa 0=minus rFT 0=minus mgN

NFr micro=

0=minusTF mgF micro=

b 02 =minus FT Rezultat final NT 80=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Rezultat final NR 96203=

Varianta 052

IIa ( )01 llkgm minus=sdot ( )01 llgmk minussdot= Rezultat final mNk 100=

b reprezentarea corectă a greutatăţii tensiunii din resort (forţei elastice) reacţiunii planului c

021 llkT minus=

Rezultat final NT 501 =

d tGT =1 αsdotsdot=minus sin02 gmllk

gmllk sdotminus=α sin 02

Rezultat final 030=α

Varianta 053

II a Legea a doua a dinamicii maFmg f =minusαsin

)( alh

gmFf minus=

b Legea a doua a frecării NFf sdot= micro αcosmgN = Rezultat final 3460=micro

)cos(sin αmicroα minus= ga acceleraţia e independentă de masa corpurilor Rezultat final 22 sma = d 0sin)( =+minusminus αgmMFF f

αcos)( gmMN += gmMF )cos)(sin( αmicroα ++=

Varianta 054

Subiectul A MECANICĂ IIa mgG = Rezultat final kNG 5= b

Rezultat final

c atv = Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

IIa Reprezentarea corecta a componentelor greutatilor Reprezentarea corecta a normalelor Reprezentarea corecta a tensiunii in fir si a fortei elastice b αcosgmN AA = αcosgmN BB = Rezultat final NNNN BA 35310 ==

c TGtA = αsingmG AtA =

gmT A=

Rezultat final NT 10= d etB FTG =+ kxTgmB =+αsin Rezultat final mx 10=

e etBtA FGG =+ Rezultat final ctxctGG tBtA =rArr=+

Nr Item Soluţie rezolvare IIa bull Determinarea din grafic a vitezelor la deplasările ArarrB şi BrarrA

ABas tvvd sdot+= )( BAas tvvd sdotminus= )( min72=ABt min40=BAt kmd 12= Rezultat final smhkmv s 88314 cong=

b bull calculul duratei parcursului ArarrBrarrA BAAB ttt += Rezultat final min112=t c bull aplicarea legilor de mişcare la mişcările celor două şalupe

ias tvvxd sdotminus=minus )( ias tvvx sdot+= )( Rezultat final kmx 77cong d bull

ABs tvd sdot=

bull min451 cong= BAAB tt

bull min86102 congABAt

bull reprezentarea grafică

Varianta 057

IIa 11 maF = Rezultat final 2

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

212 vvv ∆+= Rezultat final smv 302 =

Rezultat final smv m 51 =

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

II a reprezentarea corectă a greutăţii reacţiunii normale forţei de frecare b αcosmgN = Rezultat final NN 317cong

c ecuaţia principiului fundamental al dinamicii maFG ct =minus αsinmgGt = NFc micro= Rezultat final 252 sma =

d mişcare rectilinie uniformă 0=rArr a ct FGF += Rezultat final NF 15=

Varianta 059

IIa 02 =yR şi 222 GNR +=y

22 GN =

Rezultat final N= 122N b forţa de tracţiune trebuie să fie mai mică decacirct forţa de frecare la alunecare fcosα FF lt 1NF micro=f

αsin11 FgmN -= Rezultat final N870ltF c 01 =N şi FGN prime+= 11 0sin1 =prime αFG - rezultat final N676ЎЦFprime d

ff 2121

NNFFFR

1NF micro=f1 şi 2NF micro=f2

rezultat final 28750 sma =

Varianta 060

IIa mgG = Rezultat final kgm 303 =

b reprezentarea corectă a forţelor care acţionează asupra lui 1m forţelor care acţionează asupra lui 2m forţelor care acţionează asupra lui 3m

c 23 GTN =+ NGT minus= 23 Rezultat final NT 2003 =

213 TTT += Rezultat final NTT 10021 ==

e 11 TG = gmG sdot= 11

sdot==

Rezultat final kgmm 1021 ==

Varianta 061

Subiectul A MECANICĂ IIa amMgmMF )()( +=+minus

Fa minus

Rezultat final 22 sma = b mamgN =minus )( agmN += Rezultat final NN 36= c

a∆∆=

t∆=∆

Rezultat final 10st =∆ d

πσ =

Rezultat final 26 10384 mNsdot=σ

IIa 0)sin(cos 2222 =minusminus αmicroα FmgF

αmicro

minus=

Rezultat final 10congmicro b mgFmgF microαmicroαmicroαα =+=+ )sin(cos)sin(cos 111222

121 sincos

sincosFF

αmicroααmicroα

Rezultat final NF 461 cong c 0sin0sin 222111 =+minus=+minus αα FmgNFmgN

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

11111 αmicroα FmgF

ma primeminusminusprime=

Rezultat final 2520 sma cong

Varianta 063

IIa amFNG f =++ mamgmg =minus αmicroα cossin ( )αmicroα cossin gga minus=

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

Rezultat final 2882310 smv congminus=

c Condiţia de echilibru αmicroα cossinmin mgmgF minus=

Rezultat final NNF 4010

3150min cong

minus=

d Condiţia de echilibru αmicroα cossinmin mgmgF +=

3150min cong

Varianta 064

Subiectul A MECANICA

IIa gmFf 11

micro=

Rezultat final NFf 8521

b ( ) 01 =+minus gmmT micro 02 =minusTgm

mm minus=

Rezultat final kgm 6= c ( )

121 mm

+minus

=micro

212 mm

+minus

=micro

Rezultat final 4 21 =aa

d ( )12 agmT minus= Rezultat final NT 578=

Varianta 065

IIa reprezentarea corectă a greutatăţilor celor două corpuri tensiunii din fir reacţiunii planului b GGt lt corpul A urcă şi corpul B coboară αsdotsdotminussdot=sdotsdot sin2 gmgmam Rezultat final 252 sma =

c ( ) αsdotsdotminussdot=primesdot+ sin22 gmgmamm 0=primea αsdot= sin2 mm Rezultat final kgm 12 =

d gmT sdot=prime 2 Rezultat final NT 10=prime

Nr Item Soluţie rezolvare IIa Determinarea din grafic a acceleraţiei

∆minus

=∆∆=

b rFgmam minussdot=sdot

Rezultat final NagmFr 10)( =minussdot=

c bull 2)()( 1221 ttvvtvd m minussdot+=∆sdot=

bull Determinarea din grafic a vitezelor 1v şi 2v smv 541 = smv 5132 = Orice altă variantă de calcul corectă se va puncta integral

Rezultat final md 9= d 0=a rArr gmvk sdot=sdot

Rezultat final smv 20=

Varianta 067

II a Legea a doua a dinamicii amFF f 1=minus gmFf 1micro= Rezultat final NF 12= b

22 amTgm =minus 11 amgmT =minus micro

Rezultat final 2 52 sma = c

)()1( 2121 mmgmmT ++= micro Rezultat final NT 522= d

2 Tgm = 0)( 01 =+minus gmmT micro

120 mmm minus= micro

Rezultat final kgm 100 =

e 1NFap = gmN 00 =

Corpul 1m gmNN 101 += Rezultat final NFap 150=

Varianta 068

IIa 1∆= kmg 12 2 ∆=+ kFmg

Rezultat final m = 05 kg b

0kpmg = Rezultat final k = 500 Nm

c reprezentarea corectă a sistemului mecanic reprezentarea corectă a greutăţii reprezentarea corectă a forţei 3F reprezentarea corectă a forţei elastice 3eF

GF3βtg =

rezultat final 1βtg =

33 ∆kFe = 2

3 FGFe +=

rezultat final cm23 =∆

IIa mgG = Rezultat final NG 70= b reprezentarea corectă a greutăţii si componentelor fortei F si a componentelor sale fortei de frecare reacţiunii planului c 0=rArr= Rctv αcosFGF tf minus= αα cossin FGFf minus= Rezultat final NFf 20=

d NFf micro= αα sincos FGN +=

Rezultat final 288032

1 asymp=micro

Varianta 070

IIa nGN = αcosmgGn = Rezultat final N52N = b tva ∆∆= Rezultat final 2sm5a = c ft FGma minus= αsinmgGt = NFf micro= Rezultat final 730=micro

d ft FGF += Rezultat final N665F =

Varianta 071

Subiectul A MECANICĂ IIa gmG 11 = Rezultat final kgm 11 =

b reprezentarea corectă a greutatăţilor forţei de frecare reacţiunii planului tensiunii icircn fir c

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

IIa reprezentarea corectă a greutăţii şi reacţiunii planului tensiunii din resort (forţei elastice) şi forţei de frecare b

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

NkFT e 62=∆sdot== NmgG 10== NTmgN 67cos =minus= α NTFf 1sin == α

ααmicrocos

sinTmg

Tminus

Rezultat final 130asympmicro d

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

2 =minusminusprime+=prime∆

NkFT e 87=prime∆sdot=prime=prime şi NTmgN 763cos =primeprimeminus=prime α

aprimeminusprimeprime

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Rezultat final NF 1000= c enunţul corect αcosmgN =

Rezultat final NN 8660cong d NFf micro=

Varianta 074

Nr Item Soluţie rezolvare IIa gmMG )( += Rezultat final NG 300= b reprezentarea corectă a fiecărei forţe forţa de tracţiune forţa de frecare corp-sanie forţa de greutate forţa de reacţiune normală c enunţul corect NFf 1micro=

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

IIa intervalul de timp s10 rarr tconstFt sdot= şi [ ]gmFf sdotsdotmicroisin 0 NgmFf 10max =sdotsdotmicro= 00 =rArr=+= RFFR ft corpul este icircn repaus Rezultat final 0=v b intervalul de timp s32 rarr NconstFt 20== şi gmFf sdotsdotmicro= ft FFam minus=sdot şi ( ) mgmFa t sdotsdotmicrominus= Rezultat final 21 sma =

c intervalul de timp s61rarr constgmFf =sdotsdotmicro= Rezultat final NFf 10=

d din grafic rArr tF scade de la 10 N pacircnă la zero icircn intervalul de timp s65 rarr Rezultat final intervalul de timp este s65 rarr

e intervalul de timp s54 rarr NFt 10= şi NgmFf 10=sdotsdotmicro= ft FFR minus= Rezultat final 0=R

Nr Item Soluţie rezolvare IIa Reprezentarea forţelor ce acţionează asupra celor două corpuri

b bull Aplicarea principiului fundamental al dinamicii fiecărui corp

Tgmam minussdot=sdot 11 gmFf sdotsdot= 2micro gmTam sdotsdotminus=sdot 22 micro

Rezultat final NgmT 62)1(1 =+sdotsdot= micro

c bull Exprimarea acceleraţiei 1 mTga minus=

d bull Exprimarea acceleraţiei medii ( maa = deoarece acceleraţia este constantă)

tvtvva fininfin ∆=∆minus= )(

Rezultat final smv fin 4=

e bull Scrierea condiţiei de mişcare uniformă 0 =a (sau condiţia de echilibru a forţelor)

bull Aplicarea principiului II al mecanicii icircn noile condiţii

1 Tgmam minussdot=sdot gMTaM sdotsdotminus=sdot micro

Rezultat final kgmM 51 == micro

Varianta 077

IIa gmTFe 111 == 11 ∆= kFe

Rezultat final cmk

1 ==∆

b amTgm 11 =minus amgmT 22 =minus

Rezultat final 2

21 2 smgmm

+minus

∆== kFT e Rezultat final cm42=∆ d TR 2=

Rezultat final Ngmm

mmR 84

Varianta 078

IIa mgG = Rezultat final G = 20 N b icircn punctul A

0=R TFR += Rezultat final T = 152 N c

αsinmgG =t NF microf =

αcosmgN =

Rezultat final 20=micro d

212 amR = NFGR ++= f12 )cos(sin2 αmicroα -ga =

Rezultat final 2ms= 442a

Varianta 079

Nr Item Soluţie rezolvare IIa [ ]min500isint

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

Rezultat final 22 50 sma minus=

b 0=minus ft FF

GFf 10

Rezultat final NFt 700= c tvd ∆sdot= Rezultat final md 2700= d

2mvEc =

Rezultat final kJEc 7578=

Varianta 080

III a observaţia că mişcarea corpului este rectilinie uniformă icircn intervalul s62 minus Rezultat final st 4=∆

v∆∆=

c observaţia că mişcarea corpului este uniform icircncetinită icircn intervalul s106 minus

a∆∆=

Rezultat final 2251 sma minus=

2mvEc =

viteza corpului la momentul st 8= este smv 52= Rezultat final JEc 512=

2106 vv

v med+

Rezultat final smv med 52=

IIa maf = Rezultat final f =173 N b a)mM(cosF sdot+=α αsdot+= cosa)mM(F Rezultat final N10F = c α+= sinFMgN1 Rezultat final N1= 45 N d 2rFSF sdotπ==σ

)ag(MF +sdot= Rezultat final 26 mN10315 sdotasympσ

Varianta 082

IIa αcosMgN = Rezultat final NN 317310 cong=

b maTmg =minus MaMgMgT =minusminus αmicroα cossin

Rezultat final ( ) 33

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Rezultat final NT 21= b forţa de frecare orientată icircn sus de-a lungul planului gmMgMg 1cossin += αmicroα )cos(sin1 αmicroα minus= Mm Rezultat final kgm 501 =

Varianta 083

IIa Fortele corect marcate gmgmgm 211 cossin += αmicroα

αmicrocos1

tg minus=

b Fortele corect marcate amgmT 22 =minus amgmTgm 111 cossin =minusminus αmicroα

)(2 agmT += 2

sma minus=

Rezultat final NT 3103195 minussdotcong c Fortele corect marcate 0

2 =minusTgm 0cossin 11

=minusminus αmicroα gmgmT Rezultat final gm 249

Varianta 084

IIa 1m se deplasează uniform vertical icircn jos gmgmgmgm sdot+αsdotsdotsdotmicro=αsdotsdot+sdot 21 cossin 1m se deplasează uniform vertical icircn sus gmgmgmgm sdot=αsdotsdotsdotmicro+αsdotsdot+sdot 21 cossin Rezultat final Kgm im 692max1 cong şi Kgm im 301min1 cong

b ( ) gmgmgmgmammm sdotminusαsdotsdotsdotmicrominusαsdotsdot+sdot=sdot++ 2121 cossin Rezultat final 2091 sma cong

c 111 Tgmam minussdot=sdot rArr ( )agmT minussdot= 11 Rezultat final NT 64351 =

d d gmTam sdotminus=sdot 222 rArr ( )agmT +sdot= 22 0

22 60cos2 sdotsdotsdot++= TTTTR rArr 32 sdot= TR unde 7313 =

Rezultat final NR 7476cong

Varianta 085

IIa αsinFGN minus= Rezultat final N3511N cong b fFcosFma minus= α NFf micro= Rezultat final 2sm80a cong c tva ∆∆= atv = ( 0v0t 00 =rarr= ) Rezultat final sm12v cong d 0f0 Fma minus= ga0 microminus= 00 tvtva minus== ∆∆ Rezultat final s4t0 cong

Varianta 086

Nr Item Soluţie rezolvare IIa observaţia că la momentul st 2= NF 20=rArr 1maF =

Rezultat final 21 2 sma =

a∆∆=1

tav ∆= 11

Rezultat final smv 81 =

c tvs m∆=

Rezultat final ms 16= d 2 maF =

Rezultat final 51

Nr Item Soluţie rezolvare IIa bull Reprezentarea corectă a forţelor ce acţionează asupra celor două corpuri greutate tensiune

icircn fir forţă de frecare la alunecare reacţiune normală

b bull Aplicarea principiului II al mecanicii corpului de masă m

Tgmam minussdot=sdot

bull Aplicarea principiului II al mecanicii corpului de masă M

fFTaM minus=sdot gMN sdot=

bull Exprimarea forţei de frecare NFf sdot= micro

Rezultat final 252

sdotminussdot= micro

c )( agmT minussdot=

d lkT ∆sdot= Rezultat final cml 252=∆

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

Rezultat final m22A =r c desen r∆

m ∆∆

22 yxr ∆∆∆ +=DArarr

AD= xxx -∆ şi AD y-y=y∆ Rezultat final ms170m ЎЦv

e desen Cv

Varianta 089

Nr Item Soluţie rezolvare IIa 0=minusminus ft FGF

NFf micro=

0cossin =minusminus αmicroα mgmgF

b maFG ft =minus

)cos(sin αmicroα minus= ga

c totc LE =∆

αmicro cos

mgLmghmv minus=

)cos(sin2 αmicroα minus= gLv

d θmicro tg=

Rezultat final 30arctg=θ

Varianta 090

IIa Forte corect marcate amTgm sdot=minussdotsdot 11 sinα amT sdot= 2

mmT sdot

+sdotsdot=

21 cosα

Rezultat final NT 57= b

ma sdot

+sdot=

1 sinα

c Forte corect marcate NFf sdot= micro 0cossin 111 =sdotsdotsdotminusminussdotsdot αmicroα gmTgm 021 =sdotsdotminus gmT micro Rezultat final 4170=micro

Varianta 091

IIa tva ∆∆= Rezultat final v = 03 ms b reprezentarea corectă a greutatăţilor forţelor de tensiune din fir forţei de tensiune din firul de care este suspendat scripetele c amgmT 22 =minus amgmT 11 =+minus ( )

mmga +minussdot=

Rezultat final sm6a = d

)mm(gmm4T2F

Rezultat final N32F =

Varianta 092

IIa reprezentarea forţelor G şi rezistentaF

b kvGFGma rez minus=minus=

Rezultat final

minus=Gkv

c dacă constvv == 0 rArr 0=a mgkv =0

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

IIa ( )βsdotminussdotmicrominusβsdot=sdot sincos0 FGFam ( )[ ] gmFa sdotmicrominusβsdotmicro+βsdot= sincos0 Rezultat final 2

0 872 sma =

b fptxp FGFam minusminus=sdot unde 0=pa

( )ynfp FGF minussdotmicro=

( ) 0sincossincos =βsdotminusαsdotsdotsdotmicrominusαsdotsdotminusβsdot FgmgmF ( ) ( )βsdotmicro+βαsdotmicro+αsdotsdot= sincoscossingmF Rezultat final NF 25151=

c 0=pN rArr 0=minus yn FG

0sincos min =βsdotminusαsdot FG βαsdotsdot= sincosmin gmF Rezultat final NF 39245min =

Varianta 094

IIa Reprezentarea corecta a greutatilor

tensiunii din fir reactiunii planului fortei de frecare

b amTgm 22 =minus amFT f 1=minus NFf micro= Rezultatul final 25 sma =

c )(2 agmT minus= Rezultat final NT 51= d 2TF = Rezultat final NF 112cong

Varianta 095

IIa Fortele corect reprezentate ammTgmm )()( 22 +=minus+ amgmT 11 =minus

b mafmg =minus )( agmf minus= Rezultat final Nf 862cong c )(1 agmT += Rezultat final NT 4131= d TF 2= Rezultat final NF 8262=

Varianta 096

Orice altă rezolvare care conduce la rezultate corecte se va puncta corespunzător

Subiectul A MECANICĂ Nr Item Soluţie rezolvare IIa

a∆∆=

bull Reprezentarea forţelor (rarr

1F rarr

2F rarrG

rFFFaM minus+=sdot 21

Rezultat final NFr 450=

c tvd m ∆sdot=

v infinm 60

Rezultat final md 42=

11 30 smaaMFr minus=rArrsdotminus=

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

Nr Item Soluţie rezolvare IIa mgN =

Rezultat final NN 50= b maFF f =minus

NFf micro=

a microminus=

a∆∆=

d observaţia că forţa F trebuie să acţioneze sub un unghi α icircn sus αsinFGN minus= 0=N

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

b enunţ este valabilă pentru valori ale forţei deformatoare mai mici decacirct 20 N c ∆kF = cm6=siN= 05 ∆F Rezultat final Nm833ЎЦk d 00const === Rav rarrrarr

fe1x FFR += şi NGR +=y

1∆kF =e1 NF micro=f Rezultat final cm= 601∆

5 10 15 20 25 30

42 (cm)∆

Varianta 099

IIa MaMgT =minusminus micro maTmg =+minus

+minus= micro

+minus= micro1

Rezultat final NT 84= c ( )aMmMgmg prime+=minus micro

minus=prime micro

Rezultat final 282 sma =prime

d aMMg primeprime=minusmicro Rezultat final 22 smga minus=minus=primeprime micro

Varianta 100

Nr Item Soluţie rezolvare IIa maFG ft =minus

NFf micro=

a∆∆=

t =∆

Rezultat final st 2=∆ c τav =

2mvEc =

Rezultat final JEc 150=

d αmicro tg=

e_f_mecanica_bii_001

Varianta 002

II a ct FG = αmicroα cossin mgmg = microα arctg= Rezultat final 030=α b dFL cf sdotminus= Rezultat final JLf 4minus=

c reprezentarea corectă a forţei de tracţiune greutăţii forţei de frecare reacţiunii planului d maFGF ct =minusminus ( )αsin2gamF += Rezultat final NF 26=

Varianta 003

Varianta 004

gmTam 11 minus=

+minus

Rezultat final 2

∆∆=

de frecare c

amGFNF f =+++

mamgF =minus micro

∆=micro

Varianta 006

IIa gmG AA =

Rezultat final kgg

A 30==

=minus=minus

Rezultat final kg

m AB 150sin == α

F12sin =α

Varianta 008

sintG G ϕ= sdot

tgmicro ϕ=

Rezultat final 3

3micro =

Rezultat final

(cos sin )Fa g

Rezultat final

Varianta 010

Varianta 011

Rezultat final )(

Rezultat final 2

e tav ∆=

Rezultat final sm

v 745=

Varianta 012

Varianta 013

fF N= micro

4 kN025

16 kNmicro = =

Varianta 015

αsin22 FF y =

yFGN 2minus=

Varianta 016

Varianta 017

1 2G G Mg= =

3G mg=

Rezultat final

c Ma Mg f T

Ma T Mg

ma mg f

Rezultat final

M M mT g

Varianta 018

+minus

minusminus

( )Tmmgmm 21212 +=

mmT sdot

Varianta 020

=minus+=minus

maFF f

+= gamF

NF 556=

αsinmg

Rezultat final 2

317310coss

a cong===α

Varianta 021

amgmTAC 33 =minus

++minusminus

=micro

mm minus=micro

Varianta 022

tva ∆

d vvv crel minus=

vrel =

Varianta 023

Varianta 024

IIa G mg=

l lα =

l α∆ = minus

Rezultat final

eF k l= ∆

N mg F

F Nmicro

= minus

= sdot

G Fmicro =

Varianta 025

Rezultat final

k 540=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 003

Varianta 004

gmTam 11 minus=

+minus

Rezultat final 2

∆∆=

de frecare c

amGFNF f =+++

mamgF =minus micro

∆=micro

Varianta 006

IIa gmG AA =

Rezultat final kgg

A 30==

=minus=minus

Rezultat final kg

m AB 150sin == α

F12sin =α

Varianta 008

sintG G ϕ= sdot

tgmicro ϕ=

Rezultat final 3

3micro =

Rezultat final

(cos sin )Fa g

Rezultat final

Varianta 010

Varianta 011

Rezultat final )(

Rezultat final 2

e tav ∆=

Rezultat final sm

v 745=

Varianta 012

Varianta 013

fF N= micro

4 kN025

16 kNmicro = =

Varianta 015

αsin22 FF y =

yFGN 2minus=

Varianta 016

Varianta 017

1 2G G Mg= =

3G mg=

Rezultat final

c Ma Mg f T

Ma T Mg

ma mg f

Rezultat final

M M mT g

Varianta 018

+minus

minusminus

( )Tmmgmm 21212 +=

mmT sdot

Varianta 020

=minus+=minus

maFF f

+= gamF

NF 556=

αsinmg

Rezultat final 2

317310coss

a cong===α

Varianta 021

amgmTAC 33 =minus

++minusminus

=micro

mm minus=micro

Varianta 022

tva ∆

d vvv crel minus=

vrel =

Varianta 023

Varianta 024

IIa G mg=

l lα =

l α∆ = minus

Rezultat final

eF k l= ∆

N mg F

F Nmicro

= minus

= sdot

G Fmicro =

Varianta 025

Rezultat final

k 540=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 004

gmTam 11 minus=

+minus

Rezultat final 2

∆∆=

de frecare c

amGFNF f =+++

mamgF =minus micro

∆=micro

Varianta 006

IIa gmG AA =

Rezultat final kgg

A 30==

=minus=minus

Rezultat final kg

m AB 150sin == α

F12sin =α

Varianta 008

sintG G ϕ= sdot

tgmicro ϕ=

Rezultat final 3

3micro =

Rezultat final

(cos sin )Fa g

Rezultat final

Varianta 010

Varianta 011

Rezultat final )(

Rezultat final 2

e tav ∆=

Rezultat final sm

v 745=

Varianta 012

Varianta 013

fF N= micro

4 kN025

16 kNmicro = =

Varianta 015

αsin22 FF y =

yFGN 2minus=

Varianta 016

Varianta 017

1 2G G Mg= =

3G mg=

Rezultat final

c Ma Mg f T

Ma T Mg

ma mg f

Rezultat final

M M mT g

Varianta 018

+minus

minusminus

( )Tmmgmm 21212 +=

mmT sdot

Varianta 020

=minus+=minus

maFF f

+= gamF

NF 556=

αsinmg

Rezultat final 2

317310coss

a cong===α

Varianta 021

amgmTAC 33 =minus

++minusminus

=micro

mm minus=micro

Varianta 022

tva ∆

d vvv crel minus=

vrel =

Varianta 023

Varianta 024

IIa G mg=

l lα =

l α∆ = minus

Rezultat final

eF k l= ∆

N mg F

F Nmicro

= minus

= sdot

G Fmicro =

Varianta 025

Rezultat final

k 540=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

∆∆=

de frecare c

amGFNF f =+++

mamgF =minus micro

∆=micro

Varianta 006

IIa gmG AA =

Rezultat final kgg

A 30==

=minus=minus

Rezultat final kg

m AB 150sin == α

F12sin =α

Varianta 008

sintG G ϕ= sdot

tgmicro ϕ=

Rezultat final 3

3micro =

Rezultat final

(cos sin )Fa g

Rezultat final

Varianta 010

Varianta 011

Rezultat final )(

Rezultat final 2

e tav ∆=

Rezultat final sm

v 745=

Varianta 012

Varianta 013

fF N= micro

4 kN025

16 kNmicro = =

Varianta 015

αsin22 FF y =

yFGN 2minus=

Varianta 016

Varianta 017

1 2G G Mg= =

3G mg=

Rezultat final

c Ma Mg f T

Ma T Mg

ma mg f

Rezultat final

M M mT g

Varianta 018

+minus

minusminus

( )Tmmgmm 21212 +=

mmT sdot

Varianta 020

=minus+=minus

maFF f

+= gamF

NF 556=

αsinmg

Rezultat final 2

317310coss

a cong===α

Varianta 021

amgmTAC 33 =minus

++minusminus

=micro

mm minus=micro

Varianta 022

tva ∆

d vvv crel minus=

vrel =

Varianta 023

Varianta 024

IIa G mg=

l lα =

l α∆ = minus

Rezultat final

eF k l= ∆

N mg F

F Nmicro

= minus

= sdot

G Fmicro =

Varianta 025

Rezultat final

k 540=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 006

IIa gmG AA =

Rezultat final kgg

A 30==

=minus=minus

Rezultat final kg

m AB 150sin == α

F12sin =α

Varianta 008

sintG G ϕ= sdot

tgmicro ϕ=

Rezultat final 3

3micro =

Rezultat final

(cos sin )Fa g

Rezultat final

Varianta 010

Varianta 011

Rezultat final )(

Rezultat final 2

e tav ∆=

Rezultat final sm

v 745=

Varianta 012

Varianta 013

fF N= micro

4 kN025

16 kNmicro = =

Varianta 015

αsin22 FF y =

yFGN 2minus=

Varianta 016

Varianta 017

1 2G G Mg= =

3G mg=

Rezultat final

c Ma Mg f T

Ma T Mg

ma mg f

Rezultat final

M M mT g

Varianta 018

+minus

minusminus

( )Tmmgmm 21212 +=

mmT sdot

Varianta 020

=minus+=minus

maFF f

+= gamF

NF 556=

αsinmg

Rezultat final 2

317310coss

a cong===α

Varianta 021

amgmTAC 33 =minus

++minusminus

=micro

mm minus=micro

Varianta 022

tva ∆

d vvv crel minus=

vrel =

Varianta 023

Varianta 024

IIa G mg=

l lα =

l α∆ = minus

Rezultat final

eF k l= ∆

N mg F

F Nmicro

= minus

= sdot

G Fmicro =

Varianta 025

Rezultat final

k 540=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

F12sin =α

Varianta 008

sintG G ϕ= sdot

tgmicro ϕ=

Rezultat final 3

3micro =

Rezultat final

(cos sin )Fa g

Rezultat final

Varianta 010

Varianta 011

Rezultat final )(

Rezultat final 2

e tav ∆=

Rezultat final sm

v 745=

Varianta 012

Varianta 013

fF N= micro

4 kN025

16 kNmicro = =

Varianta 015

αsin22 FF y =

yFGN 2minus=

Varianta 016

Varianta 017

1 2G G Mg= =

3G mg=

Rezultat final

c Ma Mg f T

Ma T Mg

ma mg f

Rezultat final

M M mT g

Varianta 018

+minus

minusminus

( )Tmmgmm 21212 +=

mmT sdot

Varianta 020

=minus+=minus

maFF f

+= gamF

NF 556=

αsinmg

Rezultat final 2

317310coss

a cong===α

Varianta 021

amgmTAC 33 =minus

++minusminus

=micro

mm minus=micro

Varianta 022

tva ∆

d vvv crel minus=

vrel =

Varianta 023

Varianta 024

IIa G mg=

l lα =

l α∆ = minus

Rezultat final

eF k l= ∆

N mg F

F Nmicro

= minus

= sdot

G Fmicro =

Varianta 025

Rezultat final

k 540=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 008

sintG G ϕ= sdot

tgmicro ϕ=

Rezultat final 3

3micro =

Rezultat final

(cos sin )Fa g

Rezultat final

Varianta 010

Varianta 011

Rezultat final )(

Rezultat final 2

e tav ∆=

Rezultat final sm

v 745=

Varianta 012

Varianta 013

fF N= micro

4 kN025

16 kNmicro = =

Varianta 015

αsin22 FF y =

yFGN 2minus=

Varianta 016

Varianta 017

1 2G G Mg= =

3G mg=

Rezultat final

c Ma Mg f T

Ma T Mg

ma mg f

Rezultat final

M M mT g

Varianta 018

+minus

minusminus

( )Tmmgmm 21212 +=

mmT sdot

Varianta 020

=minus+=minus

maFF f

+= gamF

NF 556=

αsinmg

Rezultat final 2

317310coss

a cong===α

Varianta 021

amgmTAC 33 =minus

++minusminus

=micro

mm minus=micro

Varianta 022

tva ∆

d vvv crel minus=

vrel =

Varianta 023

Varianta 024

IIa G mg=

l lα =

l α∆ = minus

Rezultat final

eF k l= ∆

N mg F

F Nmicro

= minus

= sdot

G Fmicro =

Varianta 025

Rezultat final

k 540=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 010

Varianta 011

Rezultat final )(

Rezultat final 2

e tav ∆=

Rezultat final sm

v 745=

Varianta 012

Varianta 013

fF N= micro

4 kN025

16 kNmicro = =

Varianta 015

αsin22 FF y =

yFGN 2minus=

Varianta 016

Varianta 017

1 2G G Mg= =

3G mg=

Rezultat final

c Ma Mg f T

Ma T Mg

ma mg f

Rezultat final

M M mT g

Varianta 018

+minus

minusminus

( )Tmmgmm 21212 +=

mmT sdot

Varianta 020

=minus+=minus

maFF f

+= gamF

NF 556=

αsinmg

Rezultat final 2

317310coss

a cong===α

Varianta 021

amgmTAC 33 =minus

++minusminus

=micro

mm minus=micro

Varianta 022

tva ∆

d vvv crel minus=

vrel =

Varianta 023

Varianta 024

IIa G mg=

l lα =

l α∆ = minus

Rezultat final

eF k l= ∆

N mg F

F Nmicro

= minus

= sdot

G Fmicro =

Varianta 025

Rezultat final

k 540=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 010

Varianta 011

Rezultat final )(

Rezultat final 2

e tav ∆=

Rezultat final sm

v 745=

Varianta 012

Varianta 013

fF N= micro

4 kN025

16 kNmicro = =

Varianta 015

αsin22 FF y =

yFGN 2minus=

Varianta 016

Varianta 017

1 2G G Mg= =

3G mg=

Rezultat final

c Ma Mg f T

Ma T Mg

ma mg f

Rezultat final

M M mT g

Varianta 018

+minus

minusminus

( )Tmmgmm 21212 +=

mmT sdot

Varianta 020

=minus+=minus

maFF f

+= gamF

NF 556=

αsinmg

Rezultat final 2

317310coss

a cong===α

Varianta 021

amgmTAC 33 =minus

++minusminus

=micro

mm minus=micro

Varianta 022

tva ∆

d vvv crel minus=

vrel =

Varianta 023

Varianta 024

IIa G mg=

l lα =

l α∆ = minus

Rezultat final

eF k l= ∆

N mg F

F Nmicro

= minus

= sdot

G Fmicro =

Varianta 025

Rezultat final

k 540=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 011

Rezultat final )(

Rezultat final 2

e tav ∆=

Rezultat final sm

v 745=

Varianta 012

Varianta 013

fF N= micro

4 kN025

16 kNmicro = =

Varianta 015

αsin22 FF y =

yFGN 2minus=

Varianta 016

Varianta 017

1 2G G Mg= =

3G mg=

Rezultat final

c Ma Mg f T

Ma T Mg

ma mg f

Rezultat final

M M mT g

Varianta 018

+minus

minusminus

( )Tmmgmm 21212 +=

mmT sdot

Varianta 020

=minus+=minus

maFF f

+= gamF

NF 556=

αsinmg

Rezultat final 2

317310coss

a cong===α

Varianta 021

amgmTAC 33 =minus

++minusminus

=micro

mm minus=micro

Varianta 022

tva ∆

d vvv crel minus=

vrel =

Varianta 023

Varianta 024

IIa G mg=

l lα =

l α∆ = minus

Rezultat final

eF k l= ∆

N mg F

F Nmicro

= minus

= sdot

G Fmicro =

Varianta 025

Rezultat final

k 540=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 012

Varianta 013

fF N= micro

4 kN025

16 kNmicro = =

Varianta 015

αsin22 FF y =

yFGN 2minus=

Varianta 016

Varianta 017

1 2G G Mg= =

3G mg=

Rezultat final

c Ma Mg f T

Ma T Mg

ma mg f

Rezultat final

M M mT g

Varianta 018

+minus

minusminus

( )Tmmgmm 21212 +=

mmT sdot

Varianta 020

=minus+=minus

maFF f

+= gamF

NF 556=

αsinmg

Rezultat final 2

317310coss

a cong===α

Varianta 021

amgmTAC 33 =minus

++minusminus

=micro

mm minus=micro

Varianta 022

tva ∆

d vvv crel minus=

vrel =

Varianta 023

Varianta 024

IIa G mg=

l lα =

l α∆ = minus

Rezultat final

eF k l= ∆

N mg F

F Nmicro

= minus

= sdot

G Fmicro =

Varianta 025

Rezultat final

k 540=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 013

fF N= micro

4 kN025

16 kNmicro = =

Varianta 015

αsin22 FF y =

yFGN 2minus=

Varianta 016

Varianta 017

1 2G G Mg= =

3G mg=

Rezultat final

c Ma Mg f T

Ma T Mg

ma mg f

Rezultat final

M M mT g

Varianta 018

+minus

minusminus

( )Tmmgmm 21212 +=

mmT sdot

Varianta 020

=minus+=minus

maFF f

+= gamF

NF 556=

αsinmg

Rezultat final 2

317310coss

a cong===α

Varianta 021

amgmTAC 33 =minus

++minusminus

=micro

mm minus=micro

Varianta 022

tva ∆

d vvv crel minus=

vrel =

Varianta 023

Varianta 024

IIa G mg=

l lα =

l α∆ = minus

Rezultat final

eF k l= ∆

N mg F

F Nmicro

= minus

= sdot

G Fmicro =

Varianta 025

Rezultat final

k 540=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 015

αsin22 FF y =

yFGN 2minus=

Varianta 016

Varianta 017

1 2G G Mg= =

3G mg=

Rezultat final

c Ma Mg f T

Ma T Mg

ma mg f

Rezultat final

M M mT g

Varianta 018

+minus

minusminus

( )Tmmgmm 21212 +=

mmT sdot

Varianta 020

=minus+=minus

maFF f

+= gamF

NF 556=

αsinmg

Rezultat final 2

317310coss

a cong===α

Varianta 021

amgmTAC 33 =minus

++minusminus

=micro

mm minus=micro

Varianta 022

tva ∆

d vvv crel minus=

vrel =

Varianta 023

Varianta 024

IIa G mg=

l lα =

l α∆ = minus

Rezultat final

eF k l= ∆

N mg F

F Nmicro

= minus

= sdot

G Fmicro =

Varianta 025

Rezultat final

k 540=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 015

αsin22 FF y =

yFGN 2minus=

Varianta 016

Varianta 017

1 2G G Mg= =

3G mg=

Rezultat final

c Ma Mg f T

Ma T Mg

ma mg f

Rezultat final

M M mT g

Varianta 018

+minus

minusminus

( )Tmmgmm 21212 +=

mmT sdot

Varianta 020

=minus+=minus

maFF f

+= gamF

NF 556=

αsinmg

Rezultat final 2

317310coss

a cong===α

Varianta 021

amgmTAC 33 =minus

++minusminus

=micro

mm minus=micro

Varianta 022

tva ∆

d vvv crel minus=

vrel =

Varianta 023

Varianta 024

IIa G mg=

l lα =

l α∆ = minus

Rezultat final

eF k l= ∆

N mg F

F Nmicro

= minus

= sdot

G Fmicro =

Varianta 025

Rezultat final

k 540=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 016

Varianta 017

1 2G G Mg= =

3G mg=

Rezultat final

c Ma Mg f T

Ma T Mg

ma mg f

Rezultat final

M M mT g

Varianta 018

+minus

minusminus

( )Tmmgmm 21212 +=

mmT sdot

Varianta 020

=minus+=minus

maFF f

+= gamF

NF 556=

αsinmg

Rezultat final 2

317310coss

a cong===α

Varianta 021

amgmTAC 33 =minus

++minusminus

=micro

mm minus=micro

Varianta 022

tva ∆

d vvv crel minus=

vrel =

Varianta 023

Varianta 024

IIa G mg=

l lα =

l α∆ = minus

Rezultat final

eF k l= ∆

N mg F

F Nmicro

= minus

= sdot

G Fmicro =

Varianta 025

Rezultat final

k 540=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 017

1 2G G Mg= =

3G mg=

Rezultat final

c Ma Mg f T

Ma T Mg

ma mg f

Rezultat final

M M mT g

Varianta 018

+minus

minusminus

( )Tmmgmm 21212 +=

mmT sdot

Varianta 020

=minus+=minus

maFF f

+= gamF

NF 556=

αsinmg

Rezultat final 2

317310coss

a cong===α

Varianta 021

amgmTAC 33 =minus

++minusminus

=micro

mm minus=micro

Varianta 022

tva ∆

d vvv crel minus=

vrel =

Varianta 023

Varianta 024

IIa G mg=

l lα =

l α∆ = minus

Rezultat final

eF k l= ∆

N mg F

F Nmicro

= minus

= sdot

G Fmicro =

Varianta 025

Rezultat final

k 540=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 018

+minus

minusminus

( )Tmmgmm 21212 +=

mmT sdot

Varianta 020

=minus+=minus

maFF f

+= gamF

NF 556=

αsinmg

Rezultat final 2

317310coss

a cong===α

Varianta 021

amgmTAC 33 =minus

++minusminus

=micro

mm minus=micro

Varianta 022

tva ∆

d vvv crel minus=

vrel =

Varianta 023

Varianta 024

IIa G mg=

l lα =

l α∆ = minus

Rezultat final

eF k l= ∆

N mg F

F Nmicro

= minus

= sdot

G Fmicro =

Varianta 025

Rezultat final

k 540=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 020

=minus+=minus

maFF f

+= gamF

NF 556=

αsinmg

Rezultat final 2

317310coss

a cong===α

Varianta 021

amgmTAC 33 =minus

++minusminus

=micro

mm minus=micro

Varianta 022

tva ∆

d vvv crel minus=

vrel =

Varianta 023

Varianta 024

IIa G mg=

l lα =

l α∆ = minus

Rezultat final

eF k l= ∆

N mg F

F Nmicro

= minus

= sdot

G Fmicro =

Varianta 025

Rezultat final

k 540=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 020

=minus+=minus

maFF f

+= gamF

NF 556=

αsinmg

Rezultat final 2

317310coss

a cong===α

Varianta 021

amgmTAC 33 =minus

++minusminus

=micro

mm minus=micro

Varianta 022

tva ∆

d vvv crel minus=

vrel =

Varianta 023

Varianta 024

IIa G mg=

l lα =

l α∆ = minus

Rezultat final

eF k l= ∆

N mg F

F Nmicro

= minus

= sdot

G Fmicro =

Varianta 025

Rezultat final

k 540=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 021

amgmTAC 33 =minus

++minusminus

=micro

mm minus=micro

Varianta 022

tva ∆

d vvv crel minus=

vrel =

Varianta 023

Varianta 024

IIa G mg=

l lα =

l α∆ = minus

Rezultat final

eF k l= ∆

N mg F

F Nmicro

= minus

= sdot

G Fmicro =

Varianta 025

Rezultat final

k 540=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 022

tva ∆

d vvv crel minus=

vrel =

Varianta 023

Varianta 024

IIa G mg=

l lα =

l α∆ = minus

Rezultat final

eF k l= ∆

N mg F

F Nmicro

= minus

= sdot

G Fmicro =

Varianta 025

Rezultat final

k 540=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 023

Varianta 024

IIa G mg=

l lα =

l α∆ = minus

Rezultat final

eF k l= ∆

N mg F

F Nmicro

= minus

= sdot

G Fmicro =

Varianta 025

Rezultat final

k 540=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 024

IIa G mg=

l lα =

l α∆ = minus

Rezultat final

eF k l= ∆

N mg F

F Nmicro

= minus

= sdot

G Fmicro =

Varianta 025

Rezultat final

k 540=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 025

Rezultat final

k 540=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 026

aminus=

c amgmT =minus

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 027

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

d fBBCtBAB FTGT ++=

ABA TG =

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 029

a∆∆=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 030

Rezultat final 5803

1 cong=micro

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 031

IIa G mg=

Rezultat final

m mk g

+=minus

Rezultat final 20

2 2 1 10

m l m ll

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 032

sincossincos

FgmgmF

Rezultat final

73=micro

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 033

makvmg =minus

0vkmg sdot=

0vmgk =

d gmkva +minus=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

d FN = FFf micro=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 035

b amFNG f =++

=minus=minus

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 036

2211 coscos

+minus

111 =minus= αFgmN

11 sinα

d 0cos 1

1 =minusTF α

0cos 2

2 =minus αFT

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 037

d maFF f =minus

amicrominus+= 1010

unde st 10=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Rezultat final 2

d mamgT minus=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 040

1 24 sma =

2 4 sma minus=

∆minus=

gvdop micro42=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Rezultat final 22

ma cong=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 042

1 M Nv v v= minus

hv = sau

2 M Pv v v= +

hv = sau

45 kmNd =

45 kmPd =

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 043

Rezultat final 202

Rezultat final 2

a∆∆=

v m ∆∆=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 044

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 045

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 046

c GFN y =+

yFGN minus=

Ff=micro

Rezultat final

1=micro

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 047

forţa rarr

ft FGF +=2

αmicro cosmgFf =

αmicro tgFF

+minus

c maFG ft =minus

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

b NFf micro=

F minus=primemicro

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 049

IIa mgG = NG 1=

k∆∆=

y)( +=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 050

IIa amTgm 22 =minus

amgmT 11 =minus

+minus

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 051

NFr micro=

c mamgT =microminus

Ta microminus=

Rezultat final

rFNR +=

21 micro+= mgR

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 052

021 llkT minus=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 053

)( alh

gmFf minus=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 054

Rezultat final

0 1atv m

Rezultat final sm

v m 1=

e Graficul )(tv

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

gmT A=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

ABs tvd sdot=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 057

1 2 sma =

b 22 maF = 111 tav ∆=∆

∆∆

d 111 tvx m ∆=∆ 222 tvx m ∆=∆

2121 xxx ∆+∆=∆

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 058

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 059

22 GN =

ff 2121

NNFFFR

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 060

sdot==

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 061

Fa minus

a∆∆=

t∆=∆

πσ =

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

αmicro

minus=

121 sincos

sincosFF

αmicroααmicroα

sinsin

FmgFmg

minusminus=

Rezultat final 1112

1 congNN

d [ ])sin(cos

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 063

315 smsma cong

minus=

b fpc LEE =∆+∆

ααmicro

sincos

2 hmgmgh

mv minus=minus

minus=

αmicro

tgghv 12

3150min cong

minus=

3150min cong

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 064

IIa gmFf 11

micro=

mm minus=

121 mm

+minus

=micro

212 mm

+minus

=micro

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 065

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

∆minus

=∆∆=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 067

e 1NFap = gmN 00 =

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 068

GF3βtg =

33 ∆kFe = 2

3 FGFe +=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

1 asymp=micro

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 070

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 071

=minus=minus

Rezultat final

ga+minus= micro

Rezultat final 21

21 )1(mm

++= micro

Rezultat final 2

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 072

== dtgα

dα şi 1312

cmd 1020

2 =minusminus=∆

ααmicrocos

sinTmg

Tminus

=prime+=prime dd

tgα ( ) 5

+prime+

prime+=primedd

ddα şi ( ) 5

0 =+prime+

=primedd

( ) cmdd 3020

= microαsin

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 073

a∆∆=

b maFG ft =minus

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 074

gmMN )( +=

d ff FF = NFf 30 =

e 1 NN micromicro =

mM )( 1 +=

micromicro

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 075

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 077

Rezultat final cmk

1 ==∆

Rezultat final 2

21 2 smgmm

+minus

Rezultat final Ngmm

mmR 84

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 078

αcosmgN =

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 079

∆∆

21 50 sma =

[ ]min453isint 2

∆∆

b 0=minus ft FF

GFf 10

2mvEc =

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 080

v∆∆=

a∆∆=

2mvEc =

2106 vv

v med+

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 082

cossinsm

MmMgmg

+minus= αmicroα

mMgT 21

cossin1 =+

++= αmicroα

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 083

αmicrocos1

tg minus=

)(2 agmT += 2

sma minus=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 084

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 085

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 086

a∆∆=1

tav ∆= 11

c tvs m∆=

Rezultat final 51

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Rezultat final 252

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 088

IIa m=C 4x m=C 2-y

A2AA += yxr

m ∆∆

e desen Cv

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 089

NFf micro=

b maFG ft =minus

c totc LE =∆

αmicro cos

mgLmghmv minus=

d θmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 090

mmT sdot

+sdotsdot=

21 cosα

ma sdot

+sdot=

1 sinα

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 091

mmga +minussdot=

)mm(gmm4T2F

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 092

Rezultat final

minus=Gkv

Rezultat final mNs

k 1200

kvga 1

1 minus=

minus=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 093

0 872 sma =

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 094

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 095

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 096

a∆∆=

1F rarr

2F rarrG

c tvd m ∆sdot=

v infinm 60

∆minus

=∆∆

= 01 =fv

Rezultat final s

vt i 4

minus=∆

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 097

NFf micro=

a microminus=

a∆∆=

FG=αsin

Rezultat final

6πα =

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 098

IIa desen

5 10 15 20 25 30

42 (cm)∆

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 099

+minus= micro

+minus= micro1

minus=prime micro

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

Varianta 100

NFf micro=

a∆∆=

t =∆

2mvEc =

d αmicro tg=

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