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Two cables BG and BH are attached to frame ACD as shown.

Two cables BG and BH are attached to frame ACD as shown.

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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**Title: Calculating Resultant Force Vector from Tensions in Cables** **Introduction:** In this example, we are tasked with determining the resultant force vector exerted by two cables, BG and BH, attached to frame ACD at point B. Given the tensions in each cable and their attachment coordinates, the final answer will be presented in Cartesian form. **Problem Statement:** Two cables BG and BH are attached to frame ACD as shown. The coordinates and dimensions are as follows: - Cable BG: - Attached at point G - Coordinates: (0.56m, 1.48m, 0) relative to G and B is (0, 0, -0.8m) - Cable BH: - Attached at point H - Coordinates: (0, 1.4m, 1.2m) - Distance between B and H: - Horizontal: 1.2m along the x-axis and 1.2m along the z-axis **Diagram Explanation:** The diagram shows the frame structure with the following key points: - Point G is elevated at 0.56 meters along the y-axis. - Point H is aligned on the y-axis extending horizontally 1.4 meters and vertically 1.2 meters. - Cable BG extends from B to G, and Cable BH extends from B to H. **Calculation Requirement:** Determine the resultant force vector exerted by the cables at B, knowing that the tension is: - 540 N in cable BG - 750 N in cable BH Final answer should be provided in Cartesian form. **Conclusion:** By understanding the coordinates and the forces in each cable, we can use vector analysis to determine the resultant force vector at point B. This comprehensive analysis helps in various engineering applications to ensure static equilibrium and structural integrity. **Key Concepts:** - Vector Analysis - Cartesian Form Representation - Static Equilibrium in Mechanics
Transcribed Image Text:**Title: Calculating Resultant Force Vector from Tensions in Cables** **Introduction:** In this example, we are tasked with determining the resultant force vector exerted by two cables, BG and BH, attached to frame ACD at point B. Given the tensions in each cable and their attachment coordinates, the final answer will be presented in Cartesian form. **Problem Statement:** Two cables BG and BH are attached to frame ACD as shown. The coordinates and dimensions are as follows: - Cable BG: - Attached at point G - Coordinates: (0.56m, 1.48m, 0) relative to G and B is (0, 0, -0.8m) - Cable BH: - Attached at point H - Coordinates: (0, 1.4m, 1.2m) - Distance between B and H: - Horizontal: 1.2m along the x-axis and 1.2m along the z-axis **Diagram Explanation:** The diagram shows the frame structure with the following key points: - Point G is elevated at 0.56 meters along the y-axis. - Point H is aligned on the y-axis extending horizontally 1.4 meters and vertically 1.2 meters. - Cable BG extends from B to G, and Cable BH extends from B to H. **Calculation Requirement:** Determine the resultant force vector exerted by the cables at B, knowing that the tension is: - 540 N in cable BG - 750 N in cable BH Final answer should be provided in Cartesian form. **Conclusion:** By understanding the coordinates and the forces in each cable, we can use vector analysis to determine the resultant force vector at point B. This comprehensive analysis helps in various engineering applications to ensure static equilibrium and structural integrity. **Key Concepts:** - Vector Analysis - Cartesian Form Representation - Static Equilibrium in Mechanics
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