A child (m = 40 kg) is playing on a merry-go-round (m = 200 kg, R =

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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

?image

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