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When calculating the moment of inertia of an object, can

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

Solution for problem 20DQ 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 20DQ

When calculating the moment of inertia of an object, can we treat all its mass as if it were concentrated at the center of mass of the object? Justify your answer.

Step-by-Step Solution:
Step 1 of 3

Solution 20DQ Numerically, moment of inertia of an object is equal to the summation of the product of mass of each point mass and the square of its distance from the axis of rotation. In other words, moment of inertia depends on the distribution of mass of the object. Suppose, an object has point masses m ,m , …., 1 loca2ed at distnnces r , r ,..., 1 2 r nrom the axis of rotation respectively. Therefore, the moment of inertia of the object is, I = m r 2+ m r 2 + ..... + m r 2 1 1 2 2 n n n I = m r 2 i=1 i i Therefore, I depends on the distance of each individual point mass from the rotation axis. The more the expanse of an object, more will be its moment of inertia since the distribution of mass of the object widens. Therefore, we cannot consider all the mass of the object to be concentrated at its center of mass.

Step 2 of 3

Chapter 9, Problem 20DQ is Solved
Step 3 of 3

Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

Since the solution to 20DQ from 9 chapter was answered, more than 429 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: University Physics, edition: 13. University Physics was written by and is associated to the ISBN: 9780321675460. The answer to “When calculating the moment of inertia of an object, can we treat all its mass as if it were concentrated at the center of mass of the object? Justify your answer.” is broken down into a number of easy to follow steps, and 31 words. This full solution covers the following key subjects: mass, Object, justify, Concentrated, inertia. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The full step-by-step solution to problem: 20DQ from chapter: 9 was answered by , our top Physics solution expert on 05/06/17, 06:07PM.

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When calculating the moment of inertia of an object, can