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A string of negligible thickness is wrap...

A string of negligible thickness is wrapped several times around a cylinder kept on a rough horizontal surface. A boy standing at a distance l from the cylinder holds one end of the string and pulls the cylinder toward him. Assuming no slipping the length of the thread passed through the hands of the man is

A

`(l)/(2)`

B

`l`

C

`2l`

D

`(3l)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
If velocity of centre of mass is v, then velocity of contact is 0 and that of the top is 2 v, hence when centre of mass covers a distance l, thread covers a distance 2l.
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