**Title: Equilibrium Analysis of Hoisting a Concrete Wall Panel****Description:**The image depicts a concrete wall panel being hoisted into position using two cables, labeled as \(AB\) and \(AC\), which are of equal length. The task involves establishing appropriate dimensions and performing an equilibrium analysis to demonstrate that the longer the cables, the less force is exerted in each cable.**Details:**- **Image Context:** - A crane is shown lifting the panel vertically using two cables. - The crane's arm is extended, and the cables are attached at a point near the top (labeled as \(A\)) and connect to the panel at points \(B\) and \(C\). - Both cables are symmetrical in arrangement and equal in length, indicating equal load distribution.**Objective:**1. **Establish Dimensions:** - Determine the appropriate lengths for \(AB\) and \(AC\), considering the weight and size of the concrete panel. - Utilize the given setup to measure angles relative to the vertical and horizontal planes.2. **Equilibrium Analysis:** - Apply principles of equilibrium physics to calculate the forces in cables \(AB\) and \(AC\). - Use trigonometry to resolve forces and articulate the relationship between cable length and the tension in each cable.3. **Theoretical Explanation:** - As the length of the cables increases, the angle with the horizontal decreases, which results in reduced tension force in each cable. - Demonstrate mathematically that longer cables distribute the weight more efficiently, reducing the load per cable.**Conclusion:**This analysis highlights the importance of cable length in lifting operations and emphasizes the practical applications of equilibrium physics in engineering and construction.

Two cables have equal length.LAB = LBC = LTo prove:If the length of the cables is longer, the force…

The concrete wall panel is hoisted into position using the two cables AB and AC of equal length. Establish appropriate dimensions and use an equilibrium analysis to show that the longer the cables the less the force in each cable.

The concrete wall panel is hoisted into position using the two cables AB and AC of equal length. Establish appropriate dimensions and use an equilibrium analysis to show that the longer the cables the less the force in each cable.

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

**Title: Equilibrium Analysis of Hoisting a Concrete Wall Panel**

**Description:**

The image depicts a concrete wall panel being hoisted into position using two cables, labeled as \(AB\) and \(AC\), which are of equal length. The task involves establishing appropriate dimensions and performing an equilibrium analysis to demonstrate that the longer the cables, the less force is exerted in each cable.

**Details:**

- **Image Context:**
- A crane is shown lifting the panel vertically using two cables.
- The crane's arm is extended, and the cables are attached at a point near the top (labeled as \(A\)) and connect to the panel at points \(B\) and \(C\).
- Both cables are symmetrical in arrangement and equal in length, indicating equal load distribution.

**Objective:**

1. **Establish Dimensions:**
- Determine the appropriate lengths for \(AB\) and \(AC\), considering the weight and size of the concrete panel.
- Utilize the given setup to measure angles relative to the vertical and horizontal planes.

2. **Equilibrium Analysis:**
- Apply principles of equilibrium physics to calculate the forces in cables \(AB\) and \(AC\).
- Use trigonometry to resolve forces and articulate the relationship between cable length and the tension in each cable.

3. **Theoretical Explanation:**
- As the length of the cables increases, the angle with the horizontal decreases, which results in reduced tension force in each cable.
- Demonstrate mathematically that longer cables distribute the weight more efficiently, reducing the load per cable.

**Conclusion:**

This analysis highlights the importance of cable length in lifting operations and emphasizes the practical applications of equilibrium physics in engineering and construction.

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