The resultant of the three forces shown is R=200 kN. a) Determine the magnitude of the force AD. b) Determine the magnitude of the force BD, c) Determine the magnitude of the force CD. 2 m (1:5m A O.8m 0.gm 1.4m

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
Question
**Problem 5: Resultant Force Analysis**

The diagram illustrates a structure under the influence of three forces with a combined resultant force \( R = 200 \, \text{kN} \).

**Objective:**
- Calculate the individual magnitudes of the forces acting along cables AD, BD, and CD.

**Instructions:**

a) **Determine the magnitude of the force along AD.**

b) **Determine the magnitude of the force along BD.**

c) **Determine the magnitude of the force along CD.**

**Diagram Analysis:**

- The diagram shows three cables, AD, BD, and CD, converging at point D from points A, B, and C on the ground.
- The vertical support at D is 2 meters high.
- The ground layout depicts:
  - Point A is 0.9 meters along the x-axis and 1.4 meters along the line AB.
  - Point B is positioned 1.4 meters from A along the line AB.
  - Point C is 0.8 meters from B along the x-axis and 1.5 meters from A along the y-axis.
  
This setup forms a three-dimensional tension problem involving calculating the force components based on geometrical and equilibrium conditions in the structure.
Transcribed Image Text:**Problem 5: Resultant Force Analysis** The diagram illustrates a structure under the influence of three forces with a combined resultant force \( R = 200 \, \text{kN} \). **Objective:** - Calculate the individual magnitudes of the forces acting along cables AD, BD, and CD. **Instructions:** a) **Determine the magnitude of the force along AD.** b) **Determine the magnitude of the force along BD.** c) **Determine the magnitude of the force along CD.** **Diagram Analysis:** - The diagram shows three cables, AD, BD, and CD, converging at point D from points A, B, and C on the ground. - The vertical support at D is 2 meters high. - The ground layout depicts: - Point A is 0.9 meters along the x-axis and 1.4 meters along the line AB. - Point B is positioned 1.4 meters from A along the line AB. - Point C is 0.8 meters from B along the x-axis and 1.5 meters from A along the y-axis. This setup forms a three-dimensional tension problem involving calculating the force components based on geometrical and equilibrium conditions in the structure.
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