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

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

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

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

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

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