The cables AB and CD exert a couple on the vertical pipe. The tension in each cableis 8KN. Determine the magnitude of the moment the cables exert on the pipe.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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The cables AB and CD exert a couple on the vertical pipe. The tension in each cableis 8KN. Determine the magnitude of the moment the cables exert on the pipe.

The diagram presents a cylindrical structure positioned in a three-dimensional coordinate system. This setup includes a vertical cylinder with several key points and vectors labeled around it, illustrating the interactions of forces or connections. Here's a detailed explanation:

1. **Cylindrical Position:**
   - The cylinder is aligned with the vertical axis (y-axis).

2. **Labeled Points and Coordinates:**
   - Point **A** is located at coordinates \((0.2, 0.6, 0.2)\) meters on the cylinder.
   - Point **B** is at \((1.6, 0, 1.2)\) meters, representing a connection point on the x-z plane.
   - Point **C** is at coordinates \((-0.2, 1.6, -0.2)\) meters, positioned on the side of the cylinder.
   - Point **D** is located at \((-1.6, 2.2, -1.2)\) meters, depicted at a higher elevation in the y-axis compared to the other points.

3. **Cables and Attachment:**
   - Cables connect these points; for instance, a cable runs from the top near point **A** down to another structure at **B**.
   - Another cable extends from the area surrounding **C** up towards **D**.

4. **Coordinate Axes:**
   - The axes involve:
     - **x-axis** running horizontally.
     - **y-axis** vertically.
     - **z-axis** extending depth-wise into the plane.

This diagram is typically used in physics or engineering contexts to demonstrate force vectors, tension in cables, or spatial relationships between points in a structural setup.
Transcribed Image Text:The diagram presents a cylindrical structure positioned in a three-dimensional coordinate system. This setup includes a vertical cylinder with several key points and vectors labeled around it, illustrating the interactions of forces or connections. Here's a detailed explanation: 1. **Cylindrical Position:** - The cylinder is aligned with the vertical axis (y-axis). 2. **Labeled Points and Coordinates:** - Point **A** is located at coordinates \((0.2, 0.6, 0.2)\) meters on the cylinder. - Point **B** is at \((1.6, 0, 1.2)\) meters, representing a connection point on the x-z plane. - Point **C** is at coordinates \((-0.2, 1.6, -0.2)\) meters, positioned on the side of the cylinder. - Point **D** is located at \((-1.6, 2.2, -1.2)\) meters, depicted at a higher elevation in the y-axis compared to the other points. 3. **Cables and Attachment:** - Cables connect these points; for instance, a cable runs from the top near point **A** down to another structure at **B**. - Another cable extends from the area surrounding **C** up towards **D**. 4. **Coordinate Axes:** - The axes involve: - **x-axis** running horizontally. - **y-axis** vertically. - **z-axis** extending depth-wise into the plane. This diagram is typically used in physics or engineering contexts to demonstrate force vectors, tension in cables, or spatial relationships between points in a structural setup.
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