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F₁ = 100 N X 0.3 m 0.5 m Mc = 75 N·m F₂= 200 N 0.4 m y Find the equivalent system of forces about point O

F₁ = 100 N X 0.3 m 0.5 m Mc = 75 N·m F₂= 200 N 0.4 m y Find the equivalent system of forces about point O

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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**Text Transcription for Educational Website:** Title: Find the equivalent system of forces about point O **Diagram Description:** The diagram shows a mechanical structure with two force vectors and a couple moment acting in a three-dimensional space. The structure consists of a blue pipe bent at an elbow joint. - **Point O:** The origin of the coordinate system, shown as a circular base. - **Coordinates:** - Point O is located at the origin (0,0,0). - The pipe extends vertically from the base in the z-direction for 0.3 meters. - The horizontal section of the pipe extends 0.5 meters in the x-direction and 0.4 meters in the y-direction. - **Forces:** - \( F_1 = 100 \, \text{N} \): Acting along the negative z-axis at the joint where the pipe bends. - \( F_2 = 200 \, \text{N} \): Acting diagonally in the negative x and positive y direction from the end of the horizontal pipe section. - **Couple Moment:** - \( M_c = 75 \, \text{N} \cdot \text{m} \): Illustrated with a circular arrow indicating a rotational effect in the plane perpendicular to the pipe. **Objective:** Determine the equivalent system of forces acting on the structure about point O, considering both the forces and the couple moment.
Transcribed Image Text:**Text Transcription for Educational Website:** Title: Find the equivalent system of forces about point O **Diagram Description:** The diagram shows a mechanical structure with two force vectors and a couple moment acting in a three-dimensional space. The structure consists of a blue pipe bent at an elbow joint. - **Point O:** The origin of the coordinate system, shown as a circular base. - **Coordinates:** - Point O is located at the origin (0,0,0). - The pipe extends vertically from the base in the z-direction for 0.3 meters. - The horizontal section of the pipe extends 0.5 meters in the x-direction and 0.4 meters in the y-direction. - **Forces:** - \( F_1 = 100 \, \text{N} \): Acting along the negative z-axis at the joint where the pipe bends. - \( F_2 = 200 \, \text{N} \): Acting diagonally in the negative x and positive y direction from the end of the horizontal pipe section. - **Couple Moment:** - \( M_c = 75 \, \text{N} \cdot \text{m} \): Illustrated with a circular arrow indicating a rotational effect in the plane perpendicular to the pipe. **Objective:** Determine the equivalent system of forces acting on the structure about point O, considering both the forces and the couple moment.
Expert Solution
Step 1

Given data:

F1=100 NF2=200 NMc=75 N.m

Need to determine the equivalent system of forces above point O.

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