Question:

Help finding tension & acceleration of a block on an inclined surface?

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A frictionless surface is inclined at an angle of 29.2° to the horizontal. A 270-g block on the ramp is attached to a 75.0-g block using a pulley, as shown in the figure below.

Picture to go with problem: http://i284.photobucket.com/albums/ll28/bathtub2008/4-62-1.gif

(b) Find the tension in the string and the magnitude of the acceleration of the 270-g block.

_____ N

_____ m/s2

(c) The 270-g block is released from rest. How long does it take for it to slide a distance of 1.20 m along the surface?

_____ s

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  1. α=29.2°

    m1=0.27 kg

    m2=0.075 kg

    d=1.2 m

    See picture:

    http://s299.photobucket.com/albums/mm286...

    a)

    F1=m1*g*sinα

    F2=m2*g

    F1>F2 --> the system moves: m1 down the surface, m2 up vertically

    F=F1-F2=g(m1*sinα-m2)=(m1+m2)a

    a=g(m1*sinα-m2)/(m1+m2)

    T=tension

    T=(g+a)*m2

    b) d=0.5at^2

    t=√(2d/a)

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