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Get Full Access to University Physics - 13 Edition - Chapter 4 - Problem 53p
Get Full Access to University Physics - 13 Edition - Chapter 4 - Problem 53p

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# A uniform cable of weight w hangs vertically downward,

ISBN: 9780321675460 31

## Solution for problem 53P Chapter 4

University Physics | 13th Edition

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University Physics | 13th Edition

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Problem 53P

A uniform cable of weight ?w? hangs vertically downward, supported by an upward force of magnitude ?w? at its top end. What is the tension in the cable (a) at its top end; (b) at its bottom end; (c) at its middle? Your answer to each part must include a free-body diagram. (?Hint:? For each question choose the body to analyze to be a section of the cable or a pomt along the cable.) (d) Graph the tension in the rope versus the distance from its top end.

Step-by-Step Solution:

Solution to 53P Step 1 Tension is a pulling force that is existent in a non extensible string/cable. Here as the question suggests, an upward pulling force W is supporting a string on which a gravitational force exists. Thus the string is supported at the top and free at the bottom. (a) Here there is an upward pulling force, W. Thus with this force, the top end will pull the bottom end of the string. Thus the tension at the top end of the string is, T=W (b) Here, there is no direct contact force pulling the string in bottom of the string, thus the tension in the string at the bottom end of the string is 0N. T=0N (c) At the middle, the force with which the string section at the middle is pulled upwards is F=W/2 Since there is a pulling force, there would be a tension in the string in the middle section, The middle of the string is in equilibrium, thus equating upward and downward forces, T+W/2=W T=W/2 Thus tension at the middle section of the string is T=W/2

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##### ISBN: 9780321675460

The full step-by-step solution to problem: 53P from chapter: 4 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. The answer to “A uniform cable of weight ?w? hangs vertically downward, supported by an upward force of magnitude ?w? at its top end. What is the tension in the cable (a) at its top end; (b) at its bottom end; (c) at its middle? Your answer to each part must include a free-body diagram. (?Hint:? For each question choose the body to analyze to be a section of the cable or a pomt along the cable.) (d) Graph the tension in the rope versus the distance from its top end.” is broken down into a number of easy to follow steps, and 88 words. This textbook survival guide was created for the textbook: University Physics, edition: 13. Since the solution to 53P from 4 chapter was answered, more than 1386 students have viewed the full step-by-step answer. This full solution covers the following key subjects: its, end, cable, top, tension. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. University Physics was written by and is associated to the ISBN: 9780321675460.

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