A turntable of mass M and radius R spins freely about the vertical axis at an initial
angular velocity w. The moment of inertia of the turntable about the axis of rotation
is 4 M R2. A small body of mass m is dropped close to the edge of the turntable
with a negligible initial velocity.The body comes to rest relative to the turntable. What is the final angular velocity of the turntable?