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Determine the magnitudes of the force R and couple Mexerted by the nut and bolt on the loaded bracket at O to maintain equilibrium. 155 mm 200 mm 22 2.9 kN 2.9 kN 48 150 mh

Determine the magnitudes of the force R and couple Mexerted by the nut and bolt on the loaded bracket at O to maintain equilibrium. 155 mm 200 mm 22 2.9 kN 2.9 kN 48 150 mh

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 mechanism subjected to forces. Key aspects include: - The bracket is anchored at point \( O \). - Two forces of magnitude 2.9 kN each are applied at an angle of 22 degrees to the horizontal plane \( x-z \). - The geometry of the bracket is defined by three given dimensions: - Length of 155 mm vertically along the \( y \)-axis from the fixed point. - A horizontal section 150 mm long along the \( x \)-axis. - The inclined sections are positioned with angles given, affecting the application of forces due to the geometry. - A handle is attached at point \( O \), suggesting a rotational element where a couple might be applied. **Calculated Answers:** - \( R = 688.869 \) kN - \( M = 0.836871 \) 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 mechanism subjected to forces. Key aspects include: - The bracket is anchored at point \( O \). - Two forces of magnitude 2.9 kN each are applied at an angle of 22 degrees to the horizontal plane \( x-z \). - The geometry of the bracket is defined by three given dimensions: - Length of 155 mm vertically along the \( y \)-axis from the fixed point. - A horizontal section 150 mm long along the \( x \)-axis. - The inclined sections are positioned with angles given, affecting the application of forces due to the geometry. - A handle is attached at point \( O \), suggesting a rotational element where a couple might be applied. **Calculated Answers:** - \( R = 688.869 \) kN - \( M = 0.836871 \) kN·m
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