In a play-ground, there is a small merry-go-round of mass 170 kg and radius 1.20 m. Its radius of gyration is around 91.0 cm. A child having mass 44.0 kg runs at a speed of 5.00 m/s all along a path which is tangent to the rim of the initially stationary merry-go-round and then jumps on. Avoid friction between the bearings and the shaft of the merry-go-round.
(i) Compute the rotational inertia of the merry-go-round about its axis of the rotation.
(ii) Compute the magnitude of the angular momentum of the child, while running, around the axis of rotation of the merry-go-round.
(iii) Compute the angular speed of the merry-go-round and child after the child has jumped on.