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Express Newton's second law of motion for rotating bodies.

Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala ISBN: 9780071284219 39

Solution for problem 3P Chapter 6

Fluid Mechanics | 2nd Edition

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Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala

Fluid Mechanics | 2nd Edition

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Problem 3P

Problem 3P

Express Newton's second law of motion for rotating bodies. What can you say about the angular velocity and angular momentum of a rotating nonrigid body of constant mass if the net torque acting on it is zero?

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Solution 3P

 Newton's second law of motion for rotating bodies can be expressed as follows

The Newton’s second law for rotating rigid bodies is expressed as where, is the net moment or torque applied on the body, is the moment of inertia of the body about the axis of rotation, and is the angular acceleration.

It can also be expressed in terms of the rate of change of angular momentum as

= == = where is angular velocity

which is also called as angular  momentum equation.

The angular momentum equation can be stated as the rate of change of the angular momentum of a body is equal to the net torque acting on it.

 

For a non-rigid body of constant mass with zero net torque, the angular momentum remains constant. But the angular velocity changes in accordance with Iω = constant.


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Chapter 6, Problem 3P is Solved
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Textbook: Fluid Mechanics
Edition: 2
Author: Yunus A. Cengel, John M. Cimbala
ISBN: 9780071284219

The answer to “Express Newton's second law of motion for rotating bodies. What can you say about the angular velocity and angular momentum of a rotating nonrigid body of constant mass if the net torque acting on it is zero?” is broken down into a number of easy to follow steps, and 37 words. This full solution covers the following key subjects: angular, rotating, motion, body, constant. This expansive textbook survival guide covers 15 chapters, and 1547 solutions. Fluid Mechanics was written by and is associated to the ISBN: 9780071284219. Since the solution to 3P from 6 chapter was answered, more than 511 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Fluid Mechanics, edition: 2. The full step-by-step solution to problem: 3P from chapter: 6 was answered by , our top Engineering and Tech solution expert on 07/03/17, 04:51AM.

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Express Newton's second law of motion for rotating bodies.