A kid of mass M stands at the edge of a platform of radius R which can be freely rotated about its axis. The moment of inertia of the platform is I. The system is at rest when a friend throws a ball of mass m and the kid catches it. If the velocity of the ball is u horizontally along the tangent to the edge of the platform when it was caught by the kid, find the angular speed of the platform after the event.

Mass of the kid = M


Moment of inertia = I


Radius of the platform = R


Mass of the ball = m


Horizontal velocity of the ball = v


Moment of inertia of the kid about its axis =


We consider both the bodies as a single system


Therefore,




1