A child (m 40 kg) is playing on a merry go round (m 200 kg, R 2 0 m) that is initially at rest The child then jumps off in a direction tangent to the edge of the merry go round as shown in Figure P9 38 The child has a speed of 5 0 m s just before she lands on the ground (a) Identify a system for which the total external torque is zero (b) What is the initial angular momentum of your system (c) Make a sketch showing your system just before and just after the child jumps off the merry go round (d) If the final angular velocity of the merrygo round is f , what is the final angular momentum of the merrygo round and of the child Express your answers in terms of f (e) What is the final angular velocity of the merry go round Concerned with the magnitude of the angular momentum, not its sign Figure P9 38 R

Question: A child (m = 40 kg) is playing on a merry-go-round (m = 200 kg, R = 2.0 m) that is initially at rest. The

A child (m = 40 kg) is playing on a merry-go-round (m = 200 kg, R = 2.0 m) that is initially at rest. The child then jumps off in a direction tangent to the edge of the merry-go-round as shown in Figure P9.38. The child has a speed of 5.0 m/s just before she lands on the ground.?

(a) Identify a system for which the total external torque is zero.?

(b) What is the initial angular momentum of your system??

(d) If the final angular velocity of the merrygo-round is??_f, what is the final angular momentum of the merrygo-round and of the child? Express your answers in terms of??_f.

(e) What is the final angular velocity of the merry-go-round?

Concerned with the magnitude of the angular momentum, not its sign.

Figure P9.38

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