(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
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
together. You may assume that both the child and ball are
same distance (i.e., R) away from the center of the merrygo-
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?
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