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If the weight of the boom is negligible compared with the applied 49-kN load, determine the cable tensions T1 and T2 and the force acting at the ball joint at A. IC 3 m 5 m T1 AL 5 m 2 m B T2 49 kN

If the weight of the boom is negligible compared with the applied 49-kN load, determine the cable tensions T1 and T2 and the force acting at the ball joint at A. IC 3 m 5 m T1 AL 5 m 2 m B T2 49 kN

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:** If the weight of the boom is negligible compared with the applied 49-kN load, determine the cable tensions \( T_1 \) and \( T_2 \) and the force acting at the ball joint at \( A \). **Diagram Explanation:** The diagram features a 3D coordinate system with axes labeled \( x \), \( y \), and \( z \). It represents a structure involving: - A point \( A \) located at the intersection of the wall with coordinates on the \( y \)-axis. - A boom extending horizontally from \( A \) with segments: - \( AB \) with a length of 5 meters. - \( BC \), forming a right-angled triangle with other segments. - A 49-kN vertical load is applied downward at point \( B \). Supporting cables are shown: - Cable \( T_1 \) extends from point \( B \) (at \( z = 2 \) m and \( x = 1 \) m) to point \( C \) on the wall at (0, 3, 0). - Cable \( T_2 \) extends from point \( B \) to point \( D \). **Answer Section:** - \( T_1 = \) ___ kN - \( T_2 = \) ___ kN - \( A = \) ___ kN
Transcribed Image Text:**Problem Statement:** If the weight of the boom is negligible compared with the applied 49-kN load, determine the cable tensions \( T_1 \) and \( T_2 \) and the force acting at the ball joint at \( A \). **Diagram Explanation:** The diagram features a 3D coordinate system with axes labeled \( x \), \( y \), and \( z \). It represents a structure involving: - A point \( A \) located at the intersection of the wall with coordinates on the \( y \)-axis. - A boom extending horizontally from \( A \) with segments: - \( AB \) with a length of 5 meters. - \( BC \), forming a right-angled triangle with other segments. - A 49-kN vertical load is applied downward at point \( B \). Supporting cables are shown: - Cable \( T_1 \) extends from point \( B \) (at \( z = 2 \) m and \( x = 1 \) m) to point \( C \) on the wall at (0, 3, 0). - Cable \( T_2 \) extends from point \( B \) to point \( D \). **Answer Section:** - \( T_1 = \) ___ kN - \( T_2 = \) ___ kN - \( A = \) ___ kN
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