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A system of uniform cylinders and plate...

A system of uniform cylinders and plates is shown in the figure. All the cylinders are identical and there is no slipping at any contact. Velocity of lower and upper plate is `v_0` and `2v_0` respectively as shown in the figure. Then the ratio of angular speed of upper cylinder to lower cylinder is

A

3

B

`1//3`

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
Upper cylnder
`Romega_(1) - v_(1) = v`………..(1)
`Romega_(1) + v_(1) = 2v`…………(2)
`therefore 2Romega_(1) = 3v`……..(3)

`Romega_(2) -v_(2)=0`……..(4)
`Romega_(2) + v_(2) =v`……….(5)
`therefore 2Romega(2) = v`..........(6)
Dividing Eqs. (3) by (6) we get: `omega_(1)/omega_(2) = 3/1`
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