A hemisphere of mass 3m and radius R 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. If particle is displaced with a negligible velocity, then find the anuglar velocity of the particle relative to the centre of the hemisphere at an angular displacement theta, when velocity of hemisphere is upsilon.

A hemisphere of mass 3m and radius R is free to slide with its base on

1.	A hemisphere of mass 3m and radius R 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. If particle is displaced with a negligible velocity, then find the anuglar velocity of the particle relative to the centre of the hemisphere at an angular displacement theta, when velocity of hemisphere is upsilon.
Answer» `(4 UPSILON)/(R COS theta)` `(3 upsilon)/(R cos theta)` `(5 upsilon)/(R cos theta)` `(2 upsilon)/(R cos theta)` Answer :A