A carousel has a radius of 1.60 m and a moment of inertia of 118 kg • m². A girl of mass 48.0 kg is standing at the edge of the carousel, which is rotating with an angular speed of 3.10 rad/s. Now the girl walks toward the center of the carousel and stops at a certain distance from the center d. The angular speed of the carousel is now 5.4 rad/s. How far from the center, in meters, did the girl stop? Both the girl and the carousel will contribute to the moment of inertia of the rotating system. In the absence of any external torque, how is the angular momentum of a system affected? m Additional Materials O Reading Submit Answer Save Progress

A carousel has a radius of 1.60 m and a moment of inertia of 118 kg • m². A girl of mass 48.0 kg is standing at the edge of the carousel, which is rotating with an angular speed of 3.10 rad/s. Now the girl walks toward the center of the carousel and stops at a certain distance from the center d. The angular speed of the carousel is now 5.4 rad/s. How far from the center, in meters, did the girl stop? Both the girl and the carousel will contribute to the moment of inertia of the rotating system. In the absence of any external torque, how is the angular momentum of a system affected? m Additional Materials O Reading Submit Answer Save Progress

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Rigid Body

A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.

Rigid Body Dynamics

Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).

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A carousel has a radius of 1.60 m and a moment of inertia of 118 kg •m². A girl of mass 48.0 kg is standing at the edge of the carousel, which is rotating with an
angular speed of 3.10 rad/s. Now the girl walks toward the center of the carousel and stops at a certain distance from the center d. The angular speed of the carousel
is now 5.4 rad/s. How far from the center, in meters, did the girl stop?
Both the girl and the carousel will contribute to the moment of inertia of the rotating system. In the absence of any external torque, how is the angular momentum of
a system affected? m
Additional Materials
O Reading
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