Problems Set 03 With Solutions

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    o sa s y es gn m a ons s necessary

    to determine the effect of the 2-kNtension in the cable on the shear, tension,

    - .

    purpose replace this force by its

    equivalent of two forces at A, Ft parallel

    n .Determine Ft and Fn.

    t=

    1.28 kNt

    F=2sin50

    nF =

    .n=

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    Determ ne t e magn tu e Fs

    o

    e ens e spr ng orce n or er

    s

    ma nitude R of this verticalresultant force.

    cos120

    s=

    60sF =

    sin60120

    =

    103.92 lbR=

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    In t e es gn o a contro

    mec an sm, s e erm ne a

    thex and scalar com onents of P.

    5tan=

    -1 5

    12

    260cos 22.62P = .=

    240 Nx

    P =

    260sin 22.62yP =

    y

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    For t e mec an sm s own,

    e erm ne e sca ar

    t n

    ,

    , .

    5tan

    12=

    22.62=

    30 30 22.62 = =

    260cos 7.38P = 7.38=

    n

    257.84 Nn

    P =

    ( )260sin 7.38tP=

    .t

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    I t e equa tens ons T n t e

    pu ey ca e are , express

    .ma nitude of R.

    x xR F=

    400 400cos60x

    R = +

    x =R F=

    y y

    400sin60y

    R =

    346.41 Ny

    R = 600 346.41R i j= +

    ( ) ( )2 2

    600 346.41R= +.=

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    ,exerts a 180 N force P as shown

    Determine the components of P

    which are parallel and

    perpendicular to the incline.

    180cos25t

    P=

    163.13 NtP=

    180sin25P =

    76.07 Nn

    P =

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    The normal reaction forceNand the

    tangential friction force Fact on the tireof a front wheel drive car as shown.

    forces in terms of the unit vectors a i

    and j along thex-y axes and (b)etand e

    nalong the n-t axes shown.

    ( ) 400cos15 900cos105 lbx

    a R i= +

    400sin15 900 105 lbR sin j= +

    .x

    972.86 lbR j=

    153.43 972.86 lbR i j= +

    ( ) 400 900 lb t nb R e e= +

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    e erm ne e resu an

    o e wo orces app e

    to t e rac et. r te n

    terms of unit vectors

    along thex-andy-axes.

    x xR F=

    200cos35 150cos120x

    R = +

    .x=R F=

    y y

    200sin35 150sin120y

    R = +

    244.61 Ny

    R =

    88.83 244.61 NR i j= +

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    drag forceD for the simple airfoil isL/D=10. If the lift force on a short

    sect on o t e a r o s 50 ,

    resultant forceR and the an le which it makes with the horizontal.

    10, L=50 lbL

    =

    50

    102 2

    2 250 5 50.25 lbR= + =

    1 1 50tan tanL

    = =

    5D= .