The diagram shows the free body diagram of a joint in a truss which is supporting a load, F. In the FBD the direction (sense) of forces A and B are assumed, so may not be correct. Given: F = 125 kN and C= 100 kN 1. Draw draw a neat, labeled free body diagram representing the situation. 2. Write two equilibrium equations, symbolically, based on your free body diagram. 3. Solve your equations to determine the magnitudes of forces A and B necessary for equilibrium. 4. Indicate whether forces A and B are in tension or compression.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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The diagram shows the free body diagram of a joint in a truss which is supporting a load, \( F \). In the FBD, the direction (sense) of forces \( A \) and \( B \) are assumed, so may not be correct.

Given: \( F = 125 \, \text{kN} \) and \( C = 100 \, \text{kN} \)

1. Draw a neat, labeled free body diagram representing the situation.
2. Write two equilibrium equations, symbolically, based on your free body diagram.
3. Solve your equations to determine the magnitudes of forces \( A \) and \( B \) necessary for equilibrium.
4. Indicate whether forces \( A \) and \( B \) are in tension or compression.

### Diagram Explanation:
- **Force \( A \):** Represented by a red arrow inclined 30° from the vertical axis going upwards.
- **Force \( B \):** Represented by a green arrow inclined 45° down from the horizontal axis with a 30° angle from the vertical component.
- **Force \( C \):** 100 kN, represented by a blue arrow downward at a 30° angle from the vertical.
- **Load \( F \):** 125 kN, represented by a black horizontal arrow pointing towards the right.

### Answers:
\( A = \) [Dropdown: Tension, Compression, Neither]  
\( B = \) [Dropdown: Tension, Compression, Neither]
Transcribed Image Text:The diagram shows the free body diagram of a joint in a truss which is supporting a load, \( F \). In the FBD, the direction (sense) of forces \( A \) and \( B \) are assumed, so may not be correct. Given: \( F = 125 \, \text{kN} \) and \( C = 100 \, \text{kN} \) 1. Draw a neat, labeled free body diagram representing the situation. 2. Write two equilibrium equations, symbolically, based on your free body diagram. 3. Solve your equations to determine the magnitudes of forces \( A \) and \( B \) necessary for equilibrium. 4. Indicate whether forces \( A \) and \( B \) are in tension or compression. ### Diagram Explanation: - **Force \( A \):** Represented by a red arrow inclined 30° from the vertical axis going upwards. - **Force \( B \):** Represented by a green arrow inclined 45° down from the horizontal axis with a 30° angle from the vertical component. - **Force \( C \):** 100 kN, represented by a blue arrow downward at a 30° angle from the vertical. - **Load \( F \):** 125 kN, represented by a black horizontal arrow pointing towards the right. ### Answers: \( A = \) [Dropdown: Tension, Compression, Neither] \( B = \) [Dropdown: Tension, Compression, Neither]
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