**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.

Name: **Problem 3: The Diagram and Explanation****Problem Description:** T
Uploaded: 2024-03-20T06:56:55.000Z
Channel: Bartleby
Description: **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 \( B \) re