(a) Explanation Refer to figureP10.45,the four particles are connected by rigid rods. The origin is at the center of the rectangle. The system rotates in the x-y plane about the z axis. The moment of inertia about an axis can be calculated by the rotational kinetic energy. Consider four particles are at a distance r from the z axis. Write the expression for distance between the particles. r = x 2 + y 2 (I) Here, r is the resultant distance, x is length between origin and x axis from rod and y is length between origin and y axis from rod. Write the general expression for moment of inertia. I = ∑ m i r i 2 Here, I is moment of inertia, m is mass of the object, r is the distance between object and origin and i is the number of object. There are four particles in the system. Write the expression for moment of inertia of four particles about z axis. I = m 1 r 2 + m 2 r 2 + m 3 r 2 + m 4 r 2 (II) Here, I is moment of inertia about z axis, m 1 is mass of first object, m 2 is mass of second object, m 3 is mass of third object and m 4 is mass of fourth object. Conclusion: Substitute 2 (b) To determine The rotational kinetic energy.

Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)

9th Edition

ISBN: 9781305266292

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Chapter 10, Problem 45P

(a)

To determine

The moment of inertia of the system about the z axis.

(b)

To determine

The rotational kinetic energy.

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Chapter 10, Problem 44P

Chapter 10, Problem 46P

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Chapter 10 Solutions

Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)

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The rotational kinetic energy.

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Chapter 10 Solutions