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Get Full Access to University Physics - 13 Edition - Chapter 11 - Problem 82p
Get Full Access to University Physics - 13 Edition - Chapter 11 - Problem 82p

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# A weight W is supported by attaching it to a vertical ISBN: 9780321675460 31

## Solution for problem 82P Chapter 11

University Physics | 13th Edition

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Problem 82P

A weight W is supported by attaching it to a vertical uniform metal pole by a thin cord passing over a pulley having negligible mass and friction. The cord is attached to the pole 40.0 cm below the top and pulls horizontally on it (?Fig. P11.78?). The pole is pivoted about a hinge at its base, is 1.75 m tall, and weighs 55.0 N. A thin wire connects the top of the pole to a vertical wall. The nail that holds this wire to the wall will pull out if an ?outward force greater than 22.0 N acts on it. (a) What is the greatest weight W that can be supported this way without pulling out the nail? (b) What is the ?magnitude? of the force that the hinge exerts on the pole?

Step-by-Step Solution:

Solution 82P Step 1: a) In this problem, we have to find out the maximum load which we can put on this system as W. So, we can draw a diagram Consider the hinge as the reference. Then, the maximum possible outward tension, T sin = 22 N Provided, = 37° Therefore, sin 37 = 0.602 That is, 0.602 T = 22 N Or, T = 22 N / 0.602 = 36.54 N We can write, the total moment is zero That is, Rearranging, we will get, Or, maximum weight, Or maximum weight,

Step 2 of 2

##### ISBN: 9780321675460

The answer to “A weight W is supported by attaching it to a vertical uniform metal pole by a thin cord passing over a pulley having negligible mass and friction. The cord is attached to the pole 40.0 cm below the top and pulls horizontally on it (?Fig. P11.78?). The pole is pivoted about a hinge at its base, is 1.75 m tall, and weighs 55.0 N. A thin wire connects the top of the pole to a vertical wall. The nail that holds this wire to the wall will pull out if an ?outward force greater than 22.0 N acts on it. (a) What is the greatest weight W that can be supported this way without pulling out the nail? (b) What is the ?magnitude? of the force that the hinge exerts on the pole?” is broken down into a number of easy to follow steps, and 133 words. University Physics was written by and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: pole, thin, Wall, vertical, top. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. This textbook survival guide was created for the textbook: University Physics, edition: 13. The full step-by-step solution to problem: 82P from chapter: 11 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. Since the solution to 82P from 11 chapter was answered, more than 1109 students have viewed the full step-by-step answer.

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