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1.5 m 3 m 400 N 200 N 1 m Member AB is supported by a cable BC and at A by a square rod which fits loosely through the square hole in the collar fixed to the member as shown.

1.5 m 3 m 400 N 200 N 1 m Member AB is supported by a cable BC and at A by a square rod which fits loosely through the square hole in the collar fixed to the member 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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The diagram depicts a 3D setup involving a member AB, which is supported by a cable BC. The system is subjected to external forces: a 400 N force acting vertically downward and a 200 N force acting horizontally along the negative x-axis. Key elements of the diagram: - **Member AB**: Positioned vertically along the z-axis. - **Point A**: The upper end of the member, fixed at 3 meters from point B, with a horizontal distance of 1.5 meters to point C. - **Cable BC**: Extends from point B to point C, providing support and stability. - **Forces**: - A 400 N force is applied downward on member AB. - A 200 N force is applied horizontally towards the member. - **Coordinates**: - Member AB spans from point B at (x = 0, y = 0, z = 0) to point A (z = 3 meters). - Point C is located at 1.5 meters along the y-axis from point A. Summary of the Problem Statement: "Member AB is supported by a cable BC and at A by a square rod, which fits loosely through the square hole in the collar fixed to the member as shown. Which of the following is closest to the force in cable BC?"
Transcribed Image Text:The diagram depicts a 3D setup involving a member AB, which is supported by a cable BC. The system is subjected to external forces: a 400 N force acting vertically downward and a 200 N force acting horizontally along the negative x-axis. Key elements of the diagram: - **Member AB**: Positioned vertically along the z-axis. - **Point A**: The upper end of the member, fixed at 3 meters from point B, with a horizontal distance of 1.5 meters to point C. - **Cable BC**: Extends from point B to point C, providing support and stability. - **Forces**: - A 400 N force is applied downward on member AB. - A 200 N force is applied horizontally towards the member. - **Coordinates**: - Member AB spans from point B at (x = 0, y = 0, z = 0) to point A (z = 3 meters). - Point C is located at 1.5 meters along the y-axis from point A. Summary of the Problem Statement: "Member AB is supported by a cable BC and at A by a square rod, which fits loosely through the square hole in the collar fixed to the member as shown. Which of the following is closest to the force in cable BC?"
Transcription for Educational Website: --- **Problem Statement:** Member AB is supported by a cable BC and at A by a square rod which fits loosely through the square hole in the collar fixed to the member as shown. **Objective:** Which of the following is closest to the force in cable BC? **Given Information:** - A force of 200 N is applied horizontally at point B. - Distance from the point where the rod meets the edge of the collar to the rod is 1 m. - The unit vector along cable BC is \( \mathbf{u_{BC}} = \{-0.857i + 0.429j + 0.286k\} \). **Diagram Explanation:** - The diagram illustrates member AB with a horizontal force applied at point B. - A cable (BC) supports the member, extending diagonally upwards and right from point B to point C. - The horizontal force is labeled as 200 N, acting towards the left. - The diagram includes vector directions and positional information relevant to calculating forces. --- This content would be used for educational purposes to help students understand the mechanics of forces in structures.
Transcribed Image Text:Transcription for Educational Website: --- **Problem Statement:** Member AB is supported by a cable BC and at A by a square rod which fits loosely through the square hole in the collar fixed to the member as shown. **Objective:** Which of the following is closest to the force in cable BC? **Given Information:** - A force of 200 N is applied horizontally at point B. - Distance from the point where the rod meets the edge of the collar to the rod is 1 m. - The unit vector along cable BC is \( \mathbf{u_{BC}} = \{-0.857i + 0.429j + 0.286k\} \). **Diagram Explanation:** - The diagram illustrates member AB with a horizontal force applied at point B. - A cable (BC) supports the member, extending diagonally upwards and right from point B to point C. - The horizontal force is labeled as 200 N, acting towards the left. - The diagram includes vector directions and positional information relevant to calculating forces. --- This content would be used for educational purposes to help students understand the mechanics of forces in structures.
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