Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Basic Terminology in Mechanics
The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its enviro…
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**Problem Statement:** Calculate the moment *about* point O of the 200-lb force that lies in the X-Y plane shown below. Solve the force into rectangular components at point M. **Diagram Explanation:** The diagram illustrates a force vector \( F \) with a magnitude of 200 lb, positioned in the X-Y plane. The force is applied at point M and points in a direction that forms a 30° angle with the positive X-axis. The diagram provides a coordinate system with the following details: - **Coordinate Axes:** - X-axis extends in positive and negative directions horizontally. - Y-axis extends in positive and negative directions vertically. - **Points:** - **Point O:** The origin of the coordinate system. - **Point M:** The point where force \( F \) is applied. This point is 3 feet in the positive X direction and 2 feet in the positive Y direction from point O. - **Components:** - \( F_x \): The horizontal component of the force. - \( F_y \): The vertical component of the force. **Dimensional Details:** - The distance from point O to point M along the X-axis is 3 feet. - The distance from point O to point M along the Y-axis is 2 feet. The task involves decomposing the force \( F = 200 \text{ lb} \) into its rectangular components \( F_x \) and \( F_y \), and then using these components to calculate the moment about point O.
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Transcribed Image Text:**Problem Statement:** Calculate the moment *about* point O of the 200-lb force that lies in the X-Y plane shown below. Solve the force into rectangular components at point M. **Diagram Explanation:** The diagram illustrates a force vector \( F \) with a magnitude of 200 lb, positioned in the X-Y plane. The force is applied at point M and points in a direction that forms a 30° angle with the positive X-axis. The diagram provides a coordinate system with the following details: - **Coordinate Axes:** - X-axis extends in positive and negative directions horizontally. - Y-axis extends in positive and negative directions vertically. - **Points:** - **Point O:** The origin of the coordinate system. - **Point M:** The point where force \( F \) is applied. This point is 3 feet in the positive X direction and 2 feet in the positive Y direction from point O. - **Components:** - \( F_x \): The horizontal component of the force. - \( F_y \): The vertical component of the force. **Dimensional Details:** - The distance from point O to point M along the X-axis is 3 feet. - The distance from point O to point M along the Y-axis is 2 feet. The task involves decomposing the force \( F = 200 \text{ lb} \) into its rectangular components \( F_x \) and \( F_y \), and then using these components to calculate the moment about point O.
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Step 1: Determine the given variable
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Step 2: Draw the free body diagram
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Step 3: Calculate the moment about the point O
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