Calculate the reaction forces at the origin assuming a fixed attachment point at (x, y, z) = (0, 0, 0). F1 = 350 N + X 0.5 m 1.2 m 0.8 m F3 = 540 N 0.6 m +y F2 = 420 N
Calculate the reaction forces at the origin assuming a fixed attachment point at (x, y, z) = (0, 0, 0). F1 = 350 N + X 0.5 m 1.2 m 0.8 m F3 = 540 N 0.6 m +y F2 = 420 N
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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Transcribed Image Text:**Text:**
Calculate the reaction forces at the origin assuming a fixed attachment point at (x, y, z) = (0, 0, 0).
**Diagram Explanation:**
The diagram illustrates a 3D coordinate system with axes labeled +x, +y, and +z. There is a structure consisting of two segments:
1. A vertical segment along the +z axis, 0.5 meters in height.
2. A horizontal segment extending first 1.2 meters along the +z direction, then turning 0.6 meters along the +x axis, and finally 0.8 meters along the +y axis.
Three forces are applied to this structure:
- **F1 = 350 N**, applied along the +x direction, at the junction where the vertical and horizontal segments meet.
- **F2 = 420 N**, applied along the -y direction, at the end of the last horizontal segment.
- **F3 = 540 N**, applied vertically downward (-z direction) at the end of the first horizontal segment.
The diagram requires calculating the reaction forces at the origin based on these applied forces.

Transcribed Image Text:### Description of Diagram:
This diagram illustrates a spatial system of forces acting on a rigid structure consisting of three orthogonal sections in three-dimensional space, labeled with the x, y, and z axes.
#### Components:
1. **Structure:**
- The structure is composed of three connected sections, forming a cornered shape.
- The base of the structure is fixed to the ground, represented by a circular blue base.
2. **Dimensions:**
- The vertical section (along the z-axis) is 0.5 meters high.
- The horizontal section extends 1.2 meters along the positive y-axis.
- The final section extends 0.6 meters in the direction of the negative z-axis.
3. **Forces:**
- **F1 = 350 N**: This force acts horizontally along the negative x-axis from the top of the vertical section.
- **F2 = 420 N**: This force acts horizontally along the positive y-axis from the end of the horizontal section.
- **F3 = 540 N**: This force acts vertically downward at the end of the last section.
Each segment is marked with its respective length, and the direction of each force is indicated by arrows.
This diagram is useful for analyzing the equilibrium and stability of the mechanical structure when subjected to multiple forces in different directions.
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