آموزش استاتیک - بخش یکم

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  • faradars.org/fvmec94053

    faradars.org/fvmec94053

    :

    1

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    : - :

    2

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    : - -

    3- 4- 5- 6- 7- 8- 9-

    0- -

    3

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    -

    .

    .

    4

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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

    14

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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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    ) .)

    16

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    17

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    18

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    19

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    20

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    21

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    22

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    23

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    25

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    26

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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

    29

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    :

    30

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    .

    31

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    8-

    R = F = 0 , M = M = 0

    32

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    33

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    34

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    35

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    36

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    37

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    38

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    39

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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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    42

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    43

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    44

    : 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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    45

    :

    000

    000

    zyx

    zyx

    MMM

    FFF

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    46

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    47

    :

    W=mg=200*9/18=1962 N

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    48

    :

    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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    52

    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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