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Question

A block A can slide on a frictionless incline of angle θ and length l, kept inside an elevator going up with uniform velocity v (figure 5−E22). Find the time taken by the block to slide down the length of the incline if it is released from the top of the incline.

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Solution



The force on the block which makes the body move down the plane is the component of its weight parallel to the inclined surface.
F = mg sinθ
Acceleration, g = sin θ
Initial velocity of block, u = 0
Distance to be covered
s = l
a = g sin θ
Using, s=ut+12at2, we get:
l=0+12gsinθt2t2=2lgsinθTime taken, t=2lgsinθ

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