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A long horizontal plank of mass m is lyi...

A long horizontal plank of mass `m` is lying on a smooth horizontal surface. A sphere of same mass `m` and radius `r` is spinned about its own axis with angular velocity `omega_0` and gently placed on the plank. The coefficient of friction between the plank and the sphere is `mu`. After some time the pure rolling of the sphere on the plank will start. Answer the following questions.

Find the time `t` at which the pure roiling starts

A

`(omega_(0)r)/(9mug)`

B

`(2omega_(0)r)/(9mug)`

C

`(omega_(0)r)/(3mug)`

D

`(2omega_(0)r)/(mug)`

Text Solution

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The correct Answer is:
B
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