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Determine the magnitudes of the force R and couple M exerted by the nut and bolt on the loaded bracket at O to maintain equilibrium.

Determine the magnitudes of the force R and couple M exerted by the nut and bolt on the loaded bracket at O to maintain equilibrium.

Elements Of Electromagnetics
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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**Problem Statement:** Determine the magnitudes of the force \( R \) and couple \( M \) exerted by the nut and bolt on the loaded bracket at \( O \) to maintain equilibrium. **Diagram Explanation:** The diagram shows a bracket with forces exerted at different sections. Key measurements and angles in the diagram are as follows: - The bracket extends vertically \( 155 \, \text{mm} \) from the point \( O \). - A horizontal section extends \( 200 \, \text{mm} \) from the vertical, forming the first bend. - The base horizontal section is \( 150 \, \text{mm} \) in length. Two forces of \( 2.9 \, \text{kN} \) are applied at \( 48^\circ \) and \( 22^\circ \) to the horizontal axis \( x \). The first force is directed upwards to the left, and the second force is directed upwards to the right. **Solution Inputs:** - **\( R \)**: Force magnitude, in kilonewtons (kN) - Input box for the value in kN. - **\( M \)**: Couple magnitude, in kilonewton-meters (kN·m) - Input box for the value in kN·m. **Answers to be calculated:** - \( R = \) [Input Box] kN - \( M = \) [Input Box] kN·m
Transcribed Image Text:**Problem Statement:** Determine the magnitudes of the force \( R \) and couple \( M \) exerted by the nut and bolt on the loaded bracket at \( O \) to maintain equilibrium. **Diagram Explanation:** The diagram shows a bracket with forces exerted at different sections. Key measurements and angles in the diagram are as follows: - The bracket extends vertically \( 155 \, \text{mm} \) from the point \( O \). - A horizontal section extends \( 200 \, \text{mm} \) from the vertical, forming the first bend. - The base horizontal section is \( 150 \, \text{mm} \) in length. Two forces of \( 2.9 \, \text{kN} \) are applied at \( 48^\circ \) and \( 22^\circ \) to the horizontal axis \( x \). The first force is directed upwards to the left, and the second force is directed upwards to the right. **Solution Inputs:** - **\( R \)**: Force magnitude, in kilonewtons (kN) - Input box for the value in kN. - **\( M \)**: Couple magnitude, in kilonewton-meters (kN·m) - Input box for the value in kN·m. **Answers to be calculated:** - \( R = \) [Input Box] kN - \( M = \) [Input Box] kN·m
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