Problem 3: The 8-ft walk-way from the pier to the floating dock weighs 450 lb. Calculate the tension T in the cable and the reaction force at rollers A and B required for equilibrium. A 4 ft 30° 31 - 4 ft G B T

Elements Of Electromagnetics
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**Problem 3: The Diagram and Explanation**

**Problem Description:**  
The 8-ft walkway from the pier to the floating dock weighs 450 lb. The task is to calculate the tension \( T \) in the cable and the reaction force at rollers \( A \) and \( B \) required for equilibrium.

**Diagram Explanation:**

- The diagram illustrates a side view of an 8-ft walkway placed between a pier and a floating dock. 

- **Walkway:**  
  - The walkway is divided into two sections, each 4 ft long. 
  - It is inclined at an angle of \( 30^\circ \) from the horizontal towards the pier.

- **Supports:**  
  - Roller \( A \) is positioned at the pier end of the walkway. 
  - Roller \( B \) is located at the floating dock end.

- **Forces and Points:**  
  - Point \( G \) represents the center of gravity of the walkway, positioned at the midpoint (4 ft from either end).
  - \( T \) is the tension in the cable attached to the floating dock.
  
The goal is to determine the necessary tension in the cable and the reaction forces at points \( A \) and \( B \) to maintain equilibrium of the system.
Transcribed Image Text:**Problem 3: The Diagram and Explanation** **Problem Description:** The 8-ft walkway from the pier to the floating dock weighs 450 lb. The task is to calculate the tension \( T \) in the cable and the reaction force at rollers \( A \) and \( B \) required for equilibrium. **Diagram Explanation:** - The diagram illustrates a side view of an 8-ft walkway placed between a pier and a floating dock. - **Walkway:** - The walkway is divided into two sections, each 4 ft long. - It is inclined at an angle of \( 30^\circ \) from the horizontal towards the pier. - **Supports:** - Roller \( A \) is positioned at the pier end of the walkway. - Roller \( B \) is located at the floating dock end. - **Forces and Points:** - Point \( G \) represents the center of gravity of the walkway, positioned at the midpoint (4 ft from either end). - \( T \) is the tension in the cable attached to the floating dock. The goal is to determine the necessary tension in the cable and the reaction forces at points \( A \) and \( B \) to maintain equilibrium of the system.
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