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Question

Two thin planks are moving on a four identical cylinder as shown. There is no slipping at any contact points. Calculate the ratio of angular speed of upper cylinder to lower cylinder.
697556_a75242d816cd4da683dbb13b78b3787c.png

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Solution

From the figure it is clear that the top cyllinder is moving with velocity v towards right and bottom cyllinder with velocity v towards left so ratio of their angular speed =1

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