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A block of mass m is attached to a pulle...

A block of mass `m` is attached to a pulley disc of equal mass, radius `r` by means of a slack string as shown. The pulley is hinged about its centre on a horizontal table and the block is projected with an initial velocity of `5 m//s`. Find the velocity when the string becomes taut.
.

A

`3m//s`

B

`2.5m//s`

C

`5//3m//s`

D

`10//3m//s`

Text Solution

Verified by Experts

The correct Answer is:
D
Applying conservation of angular momentum about the hinge, we get
`mvR=m/2R^(2)omega+m(Romega)R`
`Romega=(2v)/3=(2xx5)/3=10/3m//s`
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