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A system of identical cylinders and plat...

A system of identical cylinders and plates is shown in Fig. All the cylinders are identical and there is no slipping at any contact. The velocity of lower and upper plates are `V` and `2V`, respectively, as shown in Fig. Then the ratio of angular speeds of the upper cylinders to lower cylinders 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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