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Q.

A system of uniform cylinders and plates is shown. All the cylinders are identical and there is no slipping at any contact. Velocity of lower and upper plate is V and 2V respectively as shown. Then the ratio of angular speed of the upper cylinders to angular speed of lower cylinders is:

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answer is 3.

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Detailed Solution

For lower cylinder           ωlower =v−02R=v2RFor upper cylinder        ωup=2v−(−v)2R=3v2RHence,  ωuωl=3
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