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Direction of Friction

Two thin plan...

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.

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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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