4. Determine the force created in the hydraulic cylinders EF and AD in order to hold the shovel in equilibrium. The shovel load has a mass of 1.25 Mg and a center of gravity at G. All joints are pin connected. 0.25 m 0.25 m E 30 2 m - 60° 0.5 m

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Problem 4: Hydraulic Force Analysis**

Determine the force created in the hydraulic cylinders EF and AD in order to hold the shovel in equilibrium. The shovel load has a mass of 1.25 Megagrams (Mg) and a center of gravity at G. All joints are pin connected.

**Diagram Explanation:**

The image shows an excavator with a complex arm mechanism. Key components and dimensions include:

- **Hydraulic Cylinders:** EF and AD, which are responsible for moving the arm.
- **Points of Interest:** The arm extends to various points (D, E, F), with the shovel at the end.
- **Angles:** E is positioned at a 30-degree angle with a horizontal component, and D is at a 60-degree angle.
- **Distances:** 
  - From point E to F is 1.5 meters horizontally, with a vertical component of 0.25 meters.
  - From the base of the excavator to the tip of the shovel measures 2 meters horizontally, with a vertical height of 0.5 meters.
- **Load and Center of Gravity:** The load is 1.25 Mg with the center of gravity at point G, which influences balance and force distribution.

This mechanical setup requires calculating the forces in the hydraulic cylinders to maintain equilibrium under the given load conditions.
Transcribed Image Text:**Problem 4: Hydraulic Force Analysis** Determine the force created in the hydraulic cylinders EF and AD in order to hold the shovel in equilibrium. The shovel load has a mass of 1.25 Megagrams (Mg) and a center of gravity at G. All joints are pin connected. **Diagram Explanation:** The image shows an excavator with a complex arm mechanism. Key components and dimensions include: - **Hydraulic Cylinders:** EF and AD, which are responsible for moving the arm. - **Points of Interest:** The arm extends to various points (D, E, F), with the shovel at the end. - **Angles:** E is positioned at a 30-degree angle with a horizontal component, and D is at a 60-degree angle. - **Distances:** - From point E to F is 1.5 meters horizontally, with a vertical component of 0.25 meters. - From the base of the excavator to the tip of the shovel measures 2 meters horizontally, with a vertical height of 0.5 meters. - **Load and Center of Gravity:** The load is 1.25 Mg with the center of gravity at point G, which influences balance and force distribution. This mechanical setup requires calculating the forces in the hydraulic cylinders to maintain equilibrium under the given load conditions.
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