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A child of mass m stands at rest near the rim of a

Chapter 11, Problem 75P

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QUESTION:

Problem 75P

A child of mass m stands at rest near the rim of a stationary merry-go-round of radius R and moment of inertia I. The child now begins to walk around the circumference of the merry-go-round with a tangential speed v with respect to the merry-go-round's surface. (a) What is the child's speed with respect to the ground? Check your results in the limits (b) I → 0 and (c) I →∞

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QUESTION:

Problem 75P

A child of mass m stands at rest near the rim of a stationary merry-go-round of radius R and moment of inertia I. The child now begins to walk around the circumference of the merry-go-round with a tangential speed v with respect to the merry-go-round's surface. (a) What is the child's speed with respect to the ground? Check your results in the limits (b) I → 0 and (c) I →∞

ANSWER:

Step 1 of 4

In this question, we need to find speed of child with respect to the ground

In part b, we need to check the results of part a as moment of inertia

In part b, we need to check the results of part a as moment of inertia

Data given

Mass of child

Radius of merry-go-round

Moment of inertia

Tangential speed as the child walks

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