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A metal sign for a car dealership is a thin, uniform right

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

Solution for problem 79P 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 79P

A metal sign for a car dealership is a thin, uniform right triangle with base length b? and height ?h?. The sign has mass ?M?. (a) What is the moment of inertia of the sign for rotation about the side of length ?h?? (b) If ?M? = 5.40 kg, ?b? = 1.60 m, and ?h? = 1.20 m, what is the kinetic energy of the sign when it is rotating about an axis along the 1.20-m side at 2.00 rev/s?

Step-by-Step Solution:
Step 1 of 3

Solution 79P Let us have a look at the following figure. Let ABC be the right triangle. (a) Moment of inertia of AB = Mb /12 2 2 Moment of inertia of BC = Mb /12 Moment of inertia of AC= 0 Therefore, total moment of inertia I = Mb /12 + Mb /12 = Mb /6 2 (b) Now, angular speed = 2.00 rev/s = 2.00 × 2 rad/s = 4.0 rad/s Give, mass M = 5.40 kg , b = 1.60 m 1 2 Kinetic energy about the axis of rotation K = I 2 2 K = 1 × Mb × 2 2 6 Substituting M , b and values in this equation, we get 5.40 kg×(1.60) m K = 1 × × (4.0) J 2 6 K = 182 J So, the kinetic energy of the sign when it is rotating about the given axis is 182 J.

Step 2 of 3

Chapter 9, Problem 79P is Solved
Step 3 of 3

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

This textbook survival guide was created for the textbook: University Physics, edition: 13. The full step-by-step solution to problem: 79P from chapter: 9 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. Since the solution to 79P from 9 chapter was answered, more than 739 students have viewed the full step-by-step answer. The answer to “A metal sign for a car dealership is a thin, uniform right triangle with base length b? and height ?h?. The sign has mass ?M?. (a) What is the moment of inertia of the sign for rotation about the side of length ?h?? (b) If ?M? = 5.40 kg, ?b? = 1.60 m, and ?h? = 1.20 m, what is the kinetic energy of the sign when it is rotating about an axis along the 1.20-m side at 2.00 rev/s?” is broken down into a number of easy to follow steps, and 80 words. University Physics was written by and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: sign, length, SIDE, metal, dealership. This expansive textbook survival guide covers 26 chapters, and 2929 solutions.

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