The figure below shows a small gate attached to two couplers. The door needs a resultant moment of 178 N-m counterclockwise to be able to open when rotated around pivot A. The purpose of this problem is to calculate the force F2 needed for the door to open with the specified moment. The magnitude of the force F1 is equal to 480 N (Note that due to the distances provided, it is not necessary to use the principle of moments for couples and not all dimensions will be needed). What is the magnitude of the force F2 necessary for the gate to open

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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The figure below shows a small gate attached to two couplers. The door needs a resultant moment of 178 N-m counterclockwise to be able to open when rotated around pivot A. The purpose of this problem is to calculate the force F2 needed for the door to open with the specified moment. The magnitude of the force F1 is equal to 480 N (Note that due to the distances provided, it is not necessary to use the principle of moments for couples and not all dimensions will be needed).

What is the magnitude of the force F2 necessary for the gate to open? This will be the answer that will be offered in the numerical entry of this question.

1.25 m
F
Ao
F2
1 m
F2
Go
F₁
10.5 m
Transcribed Image Text:1.25 m F Ao F2 1 m F2 Go F₁ 10.5 m
Expert Solution
Step 1

Given data:

MA=178 N.mF1=480 N

Need to determine the magnitude of the force F2 necessary for the gate to open.

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