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4.14 Four concurrent forces in equilibrium act at point C, a truss joint, as shown. The 15 kN force acts vertically. Determine forces F3 and F4. 15 kN 12 5 kN C 60° 40° F3 FA

4.14 Four concurrent forces in equilibrium act at point C, a truss joint, as shown. The 15 kN force acts vertically. Determine forces F3 and F4. 15 kN 12 5 kN C 60° 40° F3 FA

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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4.14 Four concurrent forces in equilibrium act at point C, a truss joint, as shown. The 15 kN force acts vertically. Determine forces F3 and F4.

### Concurrent Forces in Equilibrium at a Truss Joint **Diagram Explanation:** In this diagram, four concurrent forces are in equilibrium acting at point C, which is part of a truss joint. - **Vertical Force:** - A force of 15 kN acts vertically downward at point C. - **Horizontal Components:** - A force of 5 kN acts at an angle, contributing to the horizontal component. There is a triangle depicted alongside this force, with horizontal distances marked as 12 and vertical distance as 2, suggesting a directional ratio or vector component breakdown. - **Angles:** - Force \( F_3 \) is directed upwards and to the left, forming a 40° angle with the horizontal axis. - Force \( F_4 \) is directed downward and to the left, forming a 60° angle with the horizontal axis. **Objective:** The task is to determine the magnitudes of forces \( F_3 \) and \( F_4 \) to maintain equilibrium at point C. The system is in equilibrium, meaning the sum of forces in both horizontal and vertical directions should be equal to zero. This diagram is useful in solving for unknown forces at a truss joint, illustrating the concepts of vector resolution and equilibrium in physics or engineering contexts.
Transcribed Image Text:### Concurrent Forces in Equilibrium at a Truss Joint **Diagram Explanation:** In this diagram, four concurrent forces are in equilibrium acting at point C, which is part of a truss joint. - **Vertical Force:** - A force of 15 kN acts vertically downward at point C. - **Horizontal Components:** - A force of 5 kN acts at an angle, contributing to the horizontal component. There is a triangle depicted alongside this force, with horizontal distances marked as 12 and vertical distance as 2, suggesting a directional ratio or vector component breakdown. - **Angles:** - Force \( F_3 \) is directed upwards and to the left, forming a 40° angle with the horizontal axis. - Force \( F_4 \) is directed downward and to the left, forming a 60° angle with the horizontal axis. **Objective:** The task is to determine the magnitudes of forces \( F_3 \) and \( F_4 \) to maintain equilibrium at point C. The system is in equilibrium, meaning the sum of forces in both horizontal and vertical directions should be equal to zero. This diagram is useful in solving for unknown forces at a truss joint, illustrating the concepts of vector resolution and equilibrium in physics or engineering contexts.
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