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faradars.org/fvmec94053
faradars.org/fvmec94053
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: - :
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: - -
3- 4- 5- 6- 7- 8- 9-
0- -
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faradars.org/fvmec94053-
SI BS
M
L
T
F
Kg
m
s
N
Slug
ft
s
Ib
5 = N = kg
m
s2 = =
2
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3-
Rigid Body
Particle
6
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4-
:
.
:.
:.
7
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5-
Scalar Quantities
Vectors Quantities
Free Vector Transmissible Vector Bound Vector
8
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6-
= +
+
P P P
=P.cos=P.sin
9
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+ = , + = + =
= +
+
R = ( Fx)2 + ( Fy)
2 ( )
R = ( Fx)2 + ( Fy)
2 + ( Fz)2 ( )
10
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Unit Vector =
11
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Scalar product .= . cos
B A A (
B) . cos =
.
B
A
12
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Cross Product
13
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faradars.org/fvmec94053 Complex Product
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1 = 3 2 = 2 + 3 = 3 + 2 . (1+2 3)
x N 140
100 N
120 N F
y
x
30
15
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) .)
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: . CD B A
N 200 .A C
27
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12896120
08.003.0
kji
M A
kjiM A
mN 8.82mN 8.82mN 68.7
jirrr ACAC
m 08.0m 3.0
FrM ACA
kji
kji
r
rFF
DC
DC
N 128N 69N 120
m 5.0
m 32.0m 0.24m 3.0N 200
N 200
28
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FrMM OOL
.( )
BABA
BA
BBL
rrr
Fr
MM
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:
30
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faradars.org/fvmec94053 :
.
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8-
R = F = 0 , M = M = 0
32
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: kg400 kg000
. B A . G .
.B A
0m6kN5.23
m2kN81.9m5.1:0
BM A
kN1.107B
0:0 BAF xx
kN1.107xA
0kN5.23kN81.9:0 yy AF
kN 3.33yA 40
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: 50
.E .
0kN1505.7
5.4:0 xx EF
kN 0.90xE
0kN1505.7
6kN204:0 yy EF
kN 200yE
:0EM
0m5.4kN1505.7
6
m8.1kN20m6.3kN20
m4.5kN20m7.2kN20
EM
mkN0.180 EM41
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: CG) A
. ( w=200 lb 60
CG
A
2010
60
CG
A
RT
30
O
L
60
30
CG1
2
3
O
200
tan =20
tan60 =
10 = 10 tan60
tan =20
10 tan60 tan = 1/155 = 49/1
sin = 0/755 = 180 (49/1 + 30)=100/9
sin30=200
sin=
sin
=200 sin30
sin100/9= 102
=200
sin100/9sin =
153
5
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:
000
000
zyx
zyx
MMM
FFF
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:
W=mg=200*9/18=1962 N
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:
W=-(270 lb)j
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49
9-
:
. .
: 30
1m4 100
50 80100
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50
0-
: % 35
SI BS . :
. ....( ) :
. ( )
( ) :
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51
-
w - F
) = 2221
F
(2 =22
3(21)F
(3 =21
22F
(4 =3(21)
22F
9
= 0 2 = 0 =
2
= 0 2 +
2 1
2 2 = 0 =
222 1
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N.m80 . - A p 00
( B )
(1708/(2047(3800(44068
= 0 , 375 103 + 80 = 0 = 213/34
= 0 , 213/34 425 50 3 = 0 = 1047
88
80
= 213/34 N
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53
.
.
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FaraDars.org
http://faradars.org/fvmec94053