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Solved: A sandwich board advertising sign is constructed

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs ISBN: 9781938168000 42

Solution for problem 14PE Chapter 9

College Physics | 1st Edition

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College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

College Physics | 1st Edition

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Problem 14PE

A sandwich board advertising sign is constructed as shown in Figure 9.35. The sign’s mass is 8.00 kg. (a) Calculate the tension in the chain assuming no friction between the legs and the sidewalk. (b) What force is exerted by each side on the hinge?

Step-by-Step Solution:
Step 3 of 6

Problem 14PE

Solution 14 PE

Step1 of 6:

In this question, we need to find the tension in the chain

In part (b) we need to find the force exerted by each side on the hinge

Data given

Mass of sign

 

Let us consider the given figure

Step 2 of 6:

From the figure above, we understand, there are three forces acting on the system

Weight  is acting downward

Normal for left leg and normal force for right are acting above from the ground

The tension and hinge exerts internal forces, which cancel each other

Thus we have net force on the system as using equilibrium conditions

                        

Step 3 of 6:

The normal forces are equal, due to symmetry

Hence we have normal force as  

                                

We have

And

Substituting values we get

                                

                        

                                

Now we shall consider a free body diagram for one side figure to find the tension in the chain and force due to hinge on one side

We have

From the figure we have

We have   for one side

The forces

 

Since we the system is in equilibrium, it should satisfy equilibrium conditions

 and

Thus we get the equations as

And

Step 4 of 6

Chapter 9, Problem 14PE is Solved
Step 5 of 6

Textbook: College Physics
Edition: 1
Author: Paul Peter Urone, Roger Hinrichs
ISBN: 9781938168000

College Physics was written by and is associated to the ISBN: 9781938168000. The full step-by-step solution to problem: 14PE from chapter: 9 was answered by , our top Physics solution expert on 07/07/17, 04:39PM. The answer to “A sandwich board advertising sign is constructed as shown in Figure 9.35. The sign’s mass is 8.00 kg. (a) Calculate the tension in the chain assuming no friction between the legs and the sidewalk. (b) What force is exerted by each side on the hinge?” is broken down into a number of easy to follow steps, and 45 words. This textbook survival guide was created for the textbook: College Physics , edition: 1. Since the solution to 14PE from 9 chapter was answered, more than 2709 students have viewed the full step-by-step answer. This full solution covers the following key subjects: sign, Friction, board, calculate, Chain. This expansive textbook survival guide covers 34 chapters, and 3125 solutions.

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