A merry go round is a playground ride that consists of a large disc mounted to that it can freely rotate in a horizontal plane. the merry go round shown is initially at rest, has a radius r= 1.3 m, and a mass M= 281 kg. a small boy of mass m =41 kg runs tangentially to the merry go round at a speed of v= 2.4 m/s and jumps on. a) calculate the moment of inertia of the merry go round?

b) immediately before the boy jumps on the merry go round calculate his angular speed in rad/sec about the central axis of merry go round?

c) immediately after the boy jumps on the merry go round calculate his angular speed in rad/sec of the merry go round and boy?

d) the boy then crawls towards the center of the merry go round along a radius. what is the angular speed in rad/sec of merry go round when the boy is half way between the edge and the center of the merry go round?

e) the boy then crawls to the center of the merry go round what is the angular speed in rad/sec of the merry go round when the boy is at the center of the merry go round?

f) finally, the boy decides that he has had enough fun. he decides to crawl to the edge of the merry go round and jump off. he jumps and hits the ground with zero velocity with respect to the ground. what is his angular speed in rad/sec of the merry go round after the boy jumps off?