Suppose a child gets off a rotating merry-go-round. Does

Chapter 4, Problem 15CQ

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QUESTION:

Suppose a child gets off a rotating merry-go-round. Does the angular velocity of the merry-go-round increase, decrease, or remain the same if: (a) He jumps off radially? (b) He jumps backward to land motionless? (c) He jumps straight up and hangs onto an overhead tree branch? (d) He jumps off forward, tangential to the edge? Explain your answers. (Refer to Figure 10.34).

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QUESTION:

Suppose a child gets off a rotating merry-go-round. Does the angular velocity of the merry-go-round increase, decrease, or remain the same if: (a) He jumps off radially? (b) He jumps backward to land motionless? (c) He jumps straight up and hangs onto an overhead tree branch? (d) He jumps off forward, tangential to the edge? Explain your answers. (Refer to Figure 10.34).

ANSWER:

Step-by-step solution Step 1 of 6 The angular momentum of the system is defined as, Here ‘ ’ denotes the angular momentum,’ ’ is the moment of inertia of the system and ‘ ’ is the angular velocity of the system.

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