Explanation Each point in the cord moves with a speed ω r , where r is the radius of the spool. Write the energy conservation equation for counterweight-turntable-Earth system. ( K 1 + K 2 + U g ) i + W other = ( K 1 + K 2 + U g ) f (I) Here, K 1 , and K 2 are the translational and rotational kinetic energy, U g is the gravitational potential energy. Substitute, 0 for K 1 i , K 2 i , W other , and U g f , m g h for U g i , 1 2 m υ 2 for K I f , 1 2 I ω 2 for K 2 f in equation (I) to obtain an expression for moment of inertia

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN: 9781133104261

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

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Chapter 10, Problem 38P

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To show that the moment of inertia of rotating body is .mr2(2gh/υ2−1)_.

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Principles of Physics: A Calculus-Based Text

Ch. 10.1 - A rigid object is rotating in a counterclockwise...Ch. 10.2 - Consider again the pairs of angular positions for...Ch. 10.3 - Ethan and Joseph are riding on a merry-go-round....Ch. 10.4 - Prob. 10.4QQ Ch. 10.5 - (i) If you are trying to loosen a stubborn screw...Ch. 10.7 - Prob. 10.6QQ Ch. 10.9 - A solid sphere and a hollow sphere have the same...Ch. 10.10 - A competitive diver leaves the diving board and...Ch. 10.12 - Two items A and B are placed at the top of an...Ch. 10 - A cyclist rides a bicycle with a wheel radius of...

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To show that the moment of inertia of rotating body is . m r 2 ( 2 g h / υ 2 − 1 ) _ .

Solution Summary: The author explains the energy conservation equation for counterweight-turntable-Earth system.

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To show that the moment of inertia of rotating body is .mr2(2gh/υ2−1)_.

Chapter 10 Solutions