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Can you think of a body that has the same moment of

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 9DQ Chapter 9

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 9DQ

Can you think of a body that has the same moment of inertia for all possible axes? If so, give an example, and if not, explain why this is not possible. Can you think of a body that has the same moment of inertia for all axes passing through a certain point? If so, give an example and indicate where the point is located.

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Solution 9DQ Moment of inertia is a property of an object which depends on the axis of rotation. By the use of symmetry, we can calculate it very easily for different objects. The most symmetric thing so far we know is a sphere. It’s moment of inertia is same for all possible axis passing through it’s centre. But for any other axes, it is not true. The moment of inertia is, I = m r . i i i If the change of axis does not affect the mass distribution to any point times the square of position vector, then it would be same. We saw that it could not happen even for the most symmetric object. So, it is not true. There is no such object whose moment of inertia would be same for any chosen axis. For sphere, all the axes passing through it’s centre, the moment of inertia is same.

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Chapter 9, Problem 9DQ is Solved
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Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

Since the solution to 9DQ from 9 chapter was answered, more than 428 students have viewed the full step-by-step answer. The answer to “Can you think of a body that has the same moment of inertia for all possible axes? If so, give an example, and if not, explain why this is not possible. Can you think of a body that has the same moment of inertia for all axes passing through a certain point? If so, give an example and indicate where the point is located.” is broken down into a number of easy to follow steps, and 64 words. This textbook survival guide was created for the textbook: University Physics, edition: 13. This full solution covers the following key subjects: Axes, body, Example, think, give. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The full step-by-step solution to problem: 9DQ from chapter: 9 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. University Physics was written by and is associated to the ISBN: 9780321675460.

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