If the mass of the girder is 5 Mg and its center of mass is located at point G, determine the tension developed in cable BD for equilibrium. Provide the answer in newtons. FAB A B 45° 30° D

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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### Educational Content: Calculating Tension in Cable BD for Equilibrium

**Problem Statement:**

If the mass of the girder is 5 Megagrams (Mg) and its center of mass is located at point G, determine the tension developed in cable BD for equilibrium. Provide the answer in newtons.

**Diagram Explanation:**

The diagram illustrates a structure with a heavy horizontal girder. The girder is supported by two cables, AB and BD. 

- **Point G** is marked as the center of mass of the girder.
- **Line AB** represents a vertical cable exerting an upward force labeled \( F_{AB} \).
- **Cable BD** extends from point B at an angle of 30° with the horizontal line and is identified for analysis.
  
The horizontal girder is shown as resting between points C and D. The angles and points are as follows:

- **Angle ABC** is 45°, indicating the orientation of the structure.
- The force due to gravity on the girder acts downward at point G.

The task is to calculate the tension in cable BD to maintain equilibrium, given the 5 Mg weight of the girder.
Transcribed Image Text:### Educational Content: Calculating Tension in Cable BD for Equilibrium **Problem Statement:** If the mass of the girder is 5 Megagrams (Mg) and its center of mass is located at point G, determine the tension developed in cable BD for equilibrium. Provide the answer in newtons. **Diagram Explanation:** The diagram illustrates a structure with a heavy horizontal girder. The girder is supported by two cables, AB and BD. - **Point G** is marked as the center of mass of the girder. - **Line AB** represents a vertical cable exerting an upward force labeled \( F_{AB} \). - **Cable BD** extends from point B at an angle of 30° with the horizontal line and is identified for analysis. The horizontal girder is shown as resting between points C and D. The angles and points are as follows: - **Angle ABC** is 45°, indicating the orientation of the structure. - The force due to gravity on the girder acts downward at point G. The task is to calculate the tension in cable BD to maintain equilibrium, given the 5 Mg weight of the girder.
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