A merry-go-round (radius R, rotational inertia Ii) spins with negligible friction. Its initial angular velocity is (i. A child (mass m) on the merry-go-round moves from the center out to the rim.
(a) Calculate the angular velocity after the child moves out to the rim.
(b) Calculate the rotational kinetic energy and angular momentum of the system (merry-go-round + child) before and after.