. A particle of mass m is placed on top of a smooth hemispherical wedge of mass 4m at rest. The hemispherical wedge is kept on a frictionless horizontal

A particle of mass m is placed on top of a smooth hemispherical wedge of mass 4m at rest. The hemispherical wedge is kept on a frictionless horizontal surface. The particle is given a gentle push. The angular velocity of the particle relative to the wedge if wedge has velocity v and particle has fallen an angle q with respect to the wedge is