In a playground there is a small merry-go- round of radius 1.2m and mass 180 kg? Its radius of gyration is 0.91m. friction between the bearings and the shaft of the merry-go-round is negligible.
1. A child of mass 1.44kg runs at a speed of 3.0m/s tangential to the rim of the merry-go-around, which is at initially at rest, and jumps on as he passes it.find the angular velocity of the merry-of-round after jumping on it.
2.how fast must the child now run along the rim of the merry-go-round in order to stop
3.the child jumps off the merry-go-round with a velocity of 20m/s(relative to the ground) tangential to the rim. what is the angular speed of the merry-go-round after the child jumped off?