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Solved: Suppose a child gets off a rotating

Chapter 10, Problem 15

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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 \(10.34\)).

                

Figure \(10.34\) A child may jump off a merry-go-round in a variety of directions.

Equation Transcription:

Text Transcription:

10.34

Questions & Answers

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 \(10.34\)).

                

Figure \(10.34\) A child may jump off a merry-go-round in a variety of directions.

Equation Transcription:

Text Transcription:

10.34

ANSWER:

Solution

Step 1

We need to find out the the variation in angular velocity of a merry-go-round when the child gets off from it.

a) when he jumps radially there will be no change in the angular velocity of the merry-go-round. Because there will be no exchange in the  momentum.

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