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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 in figure. 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 driving force on the block which makes the body to move down the plane is,

Fmg sin θ

Acceleration =g sin θ

Initial velocity of block, u = 0

S = l

a= g sin θ

Now, S=ut+12at2

l=0+12(g sin θ)t2

t2=2lg sin θ

Time taken , t = 2lg sin θ


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