Q.4. Determine the force F required to hold the system in equilibrium if a torque M of 240 N-m is applied at point D in the counter-clockwise direction. Assume the weights of all members are negligible and that collar B freely moves along the horizontal rod with negligible friction.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Q.4.** Determine the force \( F \) required to hold the system in equilibrium if a torque \( M \) of 240 N⋅m is applied at point \( D \) in the counter-clockwise direction. Assume the weights of all members are negligible and that collar \( B \) freely moves along the horizontal rod with negligible friction.

### Diagram Explanation

The diagram presents a mechanical system consisting of several interconnected components:

- **Point A**: Located at the upper right corner, labeled where force \( F \) acts horizontally to the right.
- **Point B**: Positioned on the horizontal rod between two vertical members. Collar \( B \) is movable with negligible friction.
- **Point C**: Found at the lower left corner, connected to the horizontal base line.
- **Point D**: Positioned on the right side of point C, associated with the applied torque \( M \).

**Dimensions:**
- Distance from the top horizontal line to the base is 180 mm.
- Distance from the top member (to the right of B) to the base is 320 mm.
- Horizontal line from \( A \) to \( D \) measures 90 mm (from \( A \) to end of horizontal segment) and 125 mm vertically (from base to point \( D \)).
- The vertical distance between point \( D \) and the lower base line is also depicted.

**Labelled Parts:**
- \( A \) to \( B \): 160 mm
- \( C \) to \( D \): 300 mm

The configuration is a mechanism designed with specific geometrical parameters aimed to determine the force \( F \) required to maintain equilibrium under given torque.
Transcribed Image Text:**Q.4.** Determine the force \( F \) required to hold the system in equilibrium if a torque \( M \) of 240 N⋅m is applied at point \( D \) in the counter-clockwise direction. Assume the weights of all members are negligible and that collar \( B \) freely moves along the horizontal rod with negligible friction. ### Diagram Explanation The diagram presents a mechanical system consisting of several interconnected components: - **Point A**: Located at the upper right corner, labeled where force \( F \) acts horizontally to the right. - **Point B**: Positioned on the horizontal rod between two vertical members. Collar \( B \) is movable with negligible friction. - **Point C**: Found at the lower left corner, connected to the horizontal base line. - **Point D**: Positioned on the right side of point C, associated with the applied torque \( M \). **Dimensions:** - Distance from the top horizontal line to the base is 180 mm. - Distance from the top member (to the right of B) to the base is 320 mm. - Horizontal line from \( A \) to \( D \) measures 90 mm (from \( A \) to end of horizontal segment) and 125 mm vertically (from base to point \( D \)). - The vertical distance between point \( D \) and the lower base line is also depicted. **Labelled Parts:** - \( A \) to \( B \): 160 mm - \( C \) to \( D \): 300 mm The configuration is a mechanism designed with specific geometrical parameters aimed to determine the force \( F \) required to maintain equilibrium under given torque.
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