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# Suppose a child gets off a rotating merry-go-round. Does ISBN: 9780130606204 3

## Solution for problem 15CQ Chapter 10

Physics: Principles with Applications | 6th Edition

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Problem 15CQ

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).

Step-by-Step Solution:

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. Step 2 of 6 When a child gets off a rotating merry - go round, now here taking the merry -go round as well as the child both as a system of mass respectively, following are the different cases. Step 3 of 6 (a) When the child jumps radially, in this case as the mass of the system decreases and hence the moment of inertia also decreases, so ultimately the angular velocity of the system increases as no external force is exerted on the platform by the child during jumping radially and hence the angular momentum of the system remains conserved.

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##### ISBN: 9780130606204

This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6. The full step-by-step solution to problem: 15CQ from chapter: 10 was answered by , our top Physics solution expert on 03/03/17, 03:53PM. The answer to “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).” is broken down into a number of easy to follow steps, and 62 words. This full solution covers the following key subjects: jumps, round, merry, Land, Child. This expansive textbook survival guide covers 35 chapters, and 3914 solutions. Since the solution to 15CQ from 10 chapter was answered, more than 369 students have viewed the full step-by-step answer. Physics: Principles with Applications was written by and is associated to the ISBN: 9780130606204.

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