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# (II) How high must a pointed arch be if it is to span a ISBN: 9780130606204 3

## Solution for problem 55P Chapter 9

Physics: Principles with Applications | 6th Edition

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Problem 55P

(II) How high must a pointed arch be if it is to span a space 8.0 m wide and exert one-third the horizontal force at its base that a round arch would?

Step-by-Step Solution:

Step-by-step solution

Step 1 of 5</p>  FH(round); the horizontal force exerted from the base of the round arch.

FH(point); the horizontal force exerted from the base of the point arch.

W=8m (the span of the arches)

The span of the and load of the arch are the same. If the horizontal force exerted to the point arch is one third of the round arch. What must be the height y of the point arch?

y=?        (height of the point arch)

Step 2 of 5</p> The horizontal force on point arch is one third of the round arch.

Step 3 of 5</p>

We can take the half of the round arch to write the conditions of equilibrium. According to first condition of equilibrium FH(round) from the ground is equal to the one on the top in opposite direction. Fload is equal to the reaction force N from the ground.

We can write the second condition around the point on the ground.    Step 4 of 5

Step 5 of 5

##### ISBN: 9780130606204

Since the solution to 55P from 9 chapter was answered, more than 318 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6. The full step-by-step solution to problem: 55P from chapter: 9 was answered by , our top Physics solution expert on 03/03/17, 03:53PM. Physics: Principles with Applications was written by and is associated to the ISBN: 9780130606204. The answer to “(II) How high must a pointed arch be if it is to span a space 8.0 m wide and exert one-third the horizontal force at its base that a round arch would?” is broken down into a number of easy to follow steps, and 32 words. This full solution covers the following key subjects: arch, its, exert, Force, high. This expansive textbook survival guide covers 35 chapters, and 3914 solutions.

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