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4-31. Determine the moment of the force F about point P. Express the result as a Cartesian vector. IM 2 m 3 m O 3 m 2 m 11 F - (2i + 4j - 6k) kN 3 m

4-31. Determine the moment of the force F about point P. Express the result as a Cartesian vector. IM 2 m 3 m O 3 m 2 m 11 F - (2i + 4j - 6k) kN 3 m

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: **4–31.** Determine the moment of the force **F** about point **P**. Express the result as a Cartesian vector. ### Diagram Explanation: The diagram is a 3D representation displaying various distances along the x, y, and z axes with labeled points **P**, **O**, and **A**. The force **F** is represented as a vector in the illustration. - Point **P** is located 2 meters above the xy-plane along the z-axis. - The coordinates for point **P** are effectively expressed as (0, 0, 2). - Point **O** is positioned at the origin (0, 0, 0). - Point **A** is located in the xy-plane, with coordinates (3 m, 3 m, 0). - The force **F** is acting on point **A**, defined as **F = [2i + 4j - 6k] kN**. - Distances from **O** to **A** include 3 meters along the x-axis, 3 meters along the y-axis, and 1 meter along the z-axis downward from A. - The line OA is aligned diagonally, making a vector in 3-dimensional space. This setup visualizes how the force at point A affects the point P, allowing calculation of the moment using vector operations.
Transcribed Image Text:### Problem Statement: **4–31.** Determine the moment of the force **F** about point **P**. Express the result as a Cartesian vector. ### Diagram Explanation: The diagram is a 3D representation displaying various distances along the x, y, and z axes with labeled points **P**, **O**, and **A**. The force **F** is represented as a vector in the illustration. - Point **P** is located 2 meters above the xy-plane along the z-axis. - The coordinates for point **P** are effectively expressed as (0, 0, 2). - Point **O** is positioned at the origin (0, 0, 0). - Point **A** is located in the xy-plane, with coordinates (3 m, 3 m, 0). - The force **F** is acting on point **A**, defined as **F = [2i + 4j - 6k] kN**. - Distances from **O** to **A** include 3 meters along the x-axis, 3 meters along the y-axis, and 1 meter along the z-axis downward from A. - The line OA is aligned diagonally, making a vector in 3-dimensional space. This setup visualizes how the force at point A affects the point P, allowing calculation of the moment using vector operations.
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