6 ### Analysis of Hydraulic Cylinder Forces in a Boom Assembly**Problem Statement:**The machine shown below is used for moving heavy items such as pallets of bricks around construction sites. For the horizontal boom position shown, determine the force in each of the two hydraulic cylinders AB (positive if in tension, negative if in compression). The mass of the boom is 1360 kg with the mass center at \( G_1 \), and the mass of the cube of bricks is 2330 kg with the mass center at \( G_2 \).**Assumptions:**- \( a = 830 \) mm- \( b = 180 \) mm- \( c = 505 \) mm- \( d = 610 \) mm- \( e = 1530 \) mm- \( f = 2885 \) mm**Structure Description:**The image illustrates a machine similar to a forklift with a horizontal boom, used for moving bricks. The positions of the various centers of mass and the distances are labeled:- \( G_1 \) indicates the center of mass of the boom.- \( G_2 \) indicates the center of mass of the bricks being carried.**Distance Labels:**- \( a \): Distance from the ground to the pivot point \( O \).- \( b \): Horizontal distance from the pivot point \( O \) to the connection point \( A \).- \( c \): Distance from \( A \) to \( B \) along the hydraulic cylinder.- \( d \): Vertical distance from point \( B \) to the line extending horizontally from the pivot.- \( e \): Horizontal distance from point \( B \) to \( G_1 \).- \( f \): Horizontal distance from point \( G_1 \) to \( G_2 \).**Objective:**Determine the force in the hydraulic cylinder \( AB \).**Force Relation Equation:**This is typically achieved using equilibrium equations for the boom under the given loading conditions.**Answer Format:**The force \( AB \) should be determined and entered in the provided text field in units of kN.**Additional Observations:**The diagram is crucial for visualizing the mechanical setup, including the positions of the weights and the point of application for the hydraulic forces.**Graphical Explanation:**The diagram shows a side view of the machine. Points and distances are specifically marked to aid

The weight of the boom is;The weight of the bricks is;

The machine shown is used for moving heavy items such as pallets of bricks around construction sites. For the horizontal boom position shown, determine the force in each of the two hydraulic cylinders AB (positive if in tension, negative if in compression). The mass of the boom is 1360 kg with mass center at G₁, and the mass of the cube of bricks is 2330 kg with mass center at G₂. Assume a = 830 mm, b = 180 mm, c = 505 mm, d = 610 mm, e = 1530 mm, and f = 2885 mm. b ✓ d. B e G₁ f G₂]

The machine shown is used for moving heavy items such as pallets of bricks around construction sites. For the horizontal boom position shown, determine the force in each of the two hydraulic cylinders AB (positive if in tension, negative if in compression). The mass of the boom is 1360 kg with mass center at G₁, and the mass of the cube of bricks is 2330 kg with mass center at G₂. Assume a = 830 mm, b = 180 mm, c = 505 mm, d = 610 mm, e = 1530 mm, and f = 2885 mm. b ✓ d. B e G₁ f G₂]

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

### Analysis of Hydraulic Cylinder Forces in a Boom Assembly

**Problem Statement:**
The machine shown below is used for moving heavy items such as pallets of bricks around construction sites. For the horizontal boom position shown, determine the force in each of the two hydraulic cylinders AB (positive if in tension, negative if in compression). The mass of the boom is 1360 kg with the mass center at \( G_1 \), and the mass of the cube of bricks is 2330 kg with the mass center at \( G_2 \).

**Assumptions:**
- \( a = 830 \) mm
- \( b = 180 \) mm
- \( c = 505 \) mm
- \( d = 610 \) mm
- \( e = 1530 \) mm
- \( f = 2885 \) mm

**Structure Description:**
The image illustrates a machine similar to a forklift with a horizontal boom, used for moving bricks. The positions of the various centers of mass and the distances are labeled:
- \( G_1 \) indicates the center of mass of the boom.
- \( G_2 \) indicates the center of mass of the bricks being carried.

**Distance Labels:**
- \( a \): Distance from the ground to the pivot point \( O \).
- \( b \): Horizontal distance from the pivot point \( O \) to the connection point \( A \).
- \( c \): Distance from \( A \) to \( B \) along the hydraulic cylinder.
- \( d \): Vertical distance from point \( B \) to the line extending horizontally from the pivot.
- \( e \): Horizontal distance from point \( B \) to \( G_1 \).
- \( f \): Horizontal distance from point \( G_1 \) to \( G_2 \).

**Objective:**
Determine the force in the hydraulic cylinder \( AB \).

**Force Relation Equation:**
This is typically achieved using equilibrium equations for the boom under the given loading conditions.

**Answer Format:**
The force \( AB \) should be determined and entered in the provided text field in units of kN.

**Additional Observations:**
The diagram is crucial for visualizing the mechanical setup, including the positions of the weights and the point of application for the hydraulic forces.

**Graphical Explanation:**
The diagram shows a side view of the machine. Points and distances are specifically marked to aid

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