6.139 A hand-operated hydraulic cylinder has been designed for use where space is severely limited. Determine the magnitude of the force e erted on the piston at D when two 90-lb forces are applied as shown. 90 lb 4 in.→ - 9.2 in.- A 0.9 in. 2.4 in. 0.9 in. 2.4 in. E '2 in. 90 lb Fig. P6.139 B.

Elements Of Electromagnetics
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### Problem 6.139

A hand-operated hydraulic cylinder has been designed for use where space is severely limited. Determine the magnitude of the force exerted on the piston at \( D \) when two 90-pound forces are applied as shown.

**Figure P6.139 Explanation:**

The diagram illustrates a hydraulic tool with two handles, resembling pliers. When operated, the handles generate force on the piston located at point \( D \).

- **Dimensions:**
  - Distance from points \( A \) to \( D \) is 9.2 inches.
  - Each handle of the tool extends 4 inches from point \( A \).
  - The width of the handle alongside the piston (\( B \) and \( E \)) is 2 inches.
  - The piston diameter in the vertical section near \( D \) measures 0.9 inches on both sides.

- **Forces Applied:**
  - Two forces of 90 pounds each are applied vertically downward at the ends of the handles.

The aim is to calculate the force enacted on the piston at point \( D \) due to these applied forces.
Transcribed Image Text:### Problem 6.139 A hand-operated hydraulic cylinder has been designed for use where space is severely limited. Determine the magnitude of the force exerted on the piston at \( D \) when two 90-pound forces are applied as shown. **Figure P6.139 Explanation:** The diagram illustrates a hydraulic tool with two handles, resembling pliers. When operated, the handles generate force on the piston located at point \( D \). - **Dimensions:** - Distance from points \( A \) to \( D \) is 9.2 inches. - Each handle of the tool extends 4 inches from point \( A \). - The width of the handle alongside the piston (\( B \) and \( E \)) is 2 inches. - The piston diameter in the vertical section near \( D \) measures 0.9 inches on both sides. - **Forces Applied:** - Two forces of 90 pounds each are applied vertically downward at the ends of the handles. The aim is to calculate the force enacted on the piston at point \( D \) due to these applied forces.
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