Q. A uniform ring placed on a rough horizontal surface is given a sharp impulse as shown in the figure-. As a consequence, it acquires a linear velocity of . If coefficient of friction between the ring and the horizontal surface is :

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A

Ring will start pure rolling after

B

When ring will start pure rolling its velocity is

C

After from impulse its velocity is .

D

After from impulse its velocity is .

Solution:

where is velocity acquired by ring when slipping stops.

Dividing (1) by (2), we get,

Thus, ring will start pure rolling after
From (1),

When ring will start pure rolling, its velocity is .
From s to s, i.e.,

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