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A hemisphere of radius R and mass 4 m is...

A hemisphere of radius R and mass 4 m is free to slide with its base on a smooth horizontal table . A particle of mass m is placed on the top of the hemisphere . The angular velocity of the particle relative to centre of hemisphere at an angular displacement `theta` when velocity of hemisphere has become v is

A

`(5v)/( R cos theta )`

B

`( 2v )/( R cos theta )`

C

` ( 3v)/( R sin theta)`

D

`( 5v)/( R sin theta)`

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The correct Answer is:
A
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