Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Free Body Diagram
The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freed…
Question

change the force F to {30i+40j+80k} lb 

**Problem Statement:** *4–32. If **F** = {50i + 60j + 30k} lb, determine the magnitude and coordinate direction angles of the moment of **F** about point A. **Diagram Description:** The diagram depicts a 3D coordinate system with a pipe structure that includes several segments and angles. - Point A is located at the origin where all three axes x, y, and z intersect. - From point A, a horizontal segment runs 1 ft along the x-axis, then turns 90 degrees to run 2 ft parallel to the y-axis. - At the end of this segment, the pipe extends upwards at a 45-degree angle for 3 ft towards point B. - Force **F** is applied at point B, extending outwards from the pipe. **Key Features:** - The coordinate axes are labeled x, y, and z. - The angle between the upward-extending pipe segment and the horizontal plane is 45 degrees. - The problem requires calculating the moment of force **F** about point A, which involves understanding the cross-product of vectors and the concept of moments in physics.
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Transcribed Image Text:**Problem Statement:** *4–32. If **F** = {50i + 60j + 30k} lb, determine the magnitude and coordinate direction angles of the moment of **F** about point A. **Diagram Description:** The diagram depicts a 3D coordinate system with a pipe structure that includes several segments and angles. - Point A is located at the origin where all three axes x, y, and z intersect. - From point A, a horizontal segment runs 1 ft along the x-axis, then turns 90 degrees to run 2 ft parallel to the y-axis. - At the end of this segment, the pipe extends upwards at a 45-degree angle for 3 ft towards point B. - Force **F** is applied at point B, extending outwards from the pipe. **Key Features:** - The coordinate axes are labeled x, y, and z. - The angle between the upward-extending pipe segment and the horizontal plane is 45 degrees. - The problem requires calculating the moment of force **F** about point A, which involves understanding the cross-product of vectors and the concept of moments in physics.
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Step 1: Determine the given variable
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Step 2: Calculate the moment of force F about point A
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Step 3: Calculate the coordinate direction of the moment M
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