In the cable system shown, point D lies in the yz plane and force Pis parallel to the z axis. The cables AB and AC have 460 lb breaking strength, and cables AD and AE have 920 lb breaking strength, and the factor of safety for all cables is 1.5 against failure.

In the cable system shown, point D lies in the yz plane and force Pis parallel to the z axis. The cables AB and AC have 460 lb breaking strength, and cables AD and AE have 920 lb breaking strength, and the factor of safety for all cables is 1.5 against failure.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Buckling of columns

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Question

DETERMINE ( NEED ONLY HANDWRITTEN SOLUTION PLEASE OTHERWISE DOWNVOTE).

In the cable system shown, point D lies in the yz plane and force Pis parallel to the z axis. The cables AB and AC have
460 lb breaking strength, and cables AD and AE have 920 lb breaking strength, and the factor of safety for all cables is 1.5
against failure.
6 ft
8 ft
B
Z
6 ft
X
E
P
9 ft
D
12 ft
y
Determine the largest force P that may be supported. (Round the final answer to four decimal places.)

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Step 1: Write the given data and what is to find

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Step 2: Determine the position vectors of all the cables and the tension vector in each cable:

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Step 3: Calculate the tensions in each cable in terms of P:

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Step 4: Calculate the largest load P:

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