(Problem 10.2.2) Ride on the merry-go-round. A 25 kg child in a playground runs with an initial speed of 2.5 m/s along a path tangent to the rim of a merry-go-round, whose radius is R =2 m. The child carries a ball of mass 0.5 kg. The merry go round, which is initially at rest, has a moment of inertia of 500 kg.m². The child then jumps on as shown in Fig.1. (a) Find the angular velocity of the child and merry-go-round together. You may assume that both the child and ball are same distance (i.e., R) away from the center of the merry- go-round. (b) After a few rotations, the child throws the ball with a speed of 20 m/s at an angle of 45° to the vertical as shown in Fig. 2. What is the new angular speed of the merry-go-round and the child together? Fig. 1 Üb.f 45° Fig. 2

(Problem 10.2.2) Ride on the merry-go-round. A 25 kg child in a playground runs with an initial speed of 2.5 m/s along a path tangent to the rim of a merry-go-round, whose radius is R =2 m. The child carries a ball of mass 0.5 kg. The merry go round, which is initially at rest, has a moment of inertia of 500 kg.m². The child then jumps on as shown in Fig.1. (a) Find the angular velocity of the child and merry-go-round together. You may assume that both the child and ball are same distance (i.e., R) away from the center of the merry- go-round. (b) After a few rotations, the child throws the ball with a speed of 20 m/s at an angle of 45° to the vertical as shown in Fig. 2. What is the new angular speed of the merry-go-round and the child together? Fig. 1 Üb.f 45° Fig. 2

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