A playground merry-go-round has a radius of 3.0 m and a rotational inertia of 600 kg·m^2. It is initially spinning at 0.80 radians/s when a 20-kg child crawls from its center to the rim. Treat the child as a point mass.
a) What is the rotational inertia of the child when he is at the center of the carousel?
b) What is the final magnitude of the carousel's angular velocity?