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# Suppose the solid cylinder in the apparatus described in ISBN: 9780321675460 31

## Solution for problem 46E Chapter 9

University Physics | 13th Edition

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Problem 46E

Suppose the solid cylinder in the apparatus described in Example 9.8 (Section 9.4) is replaced by a thin-walled, hollow cylinder with the same mass ?M? and radius ?R?. The cylinder is attached to the axle by spokes of a negligible moment of inertia. (a) Find the speed of the hanging mass ?m? just as it strikes the floor. (b) Use energy concepts to explain why the answer to part (a) is different from the speed found in Example 9.8.

Step-by-Step Solution:

Solution 46E Step 1: Step 2: There are no other (non-gravitational) ground forces acting on the system the total energy must be conserved. 2 2 mgh = 1/2mv + 1/2Iw (1) Where w = v/R (2) Moment of inertia of hollow cylinder is I = MR (3) Substitute eq(2) and eq(3) in eq(1) mgh = 1/2mv + 1/2( MR )(v/R) 2 mgh = (m/2 + M/2m) v 2 2 v = gh/(m/2 + M/2m)

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##### ISBN: 9780321675460

This full solution covers the following key subjects: cylinder, mass, speed, Example, inertia. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The full step-by-step solution to problem: 46E from chapter: 9 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This textbook survival guide was created for the textbook: University Physics, edition: 13. Since the solution to 46E from 9 chapter was answered, more than 249 students have viewed the full step-by-step answer. The answer to “Suppose the solid cylinder in the apparatus described in Example 9.8 (Section 9.4) is replaced by a thin-walled, hollow cylinder with the same mass ?M? and radius ?R?. The cylinder is attached to the axle by spokes of a negligible moment of inertia. (a) Find the speed of the hanging mass ?m? just as it strikes the floor. (b) Use energy concepts to explain why the answer to part (a) is different from the speed found in Example 9.8.” is broken down into a number of easy to follow steps, and 79 words. University Physics was written by and is associated to the ISBN: 9780321675460.

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