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The uniform 17-m pole has a mass of 135 kg and is supported by its smooth ends against the vertical walls and by the tension T in the vertical cable. Compute the magnitudes of the reactions at A and B. 6 m T 11 m 11 m B

The uniform 17-m pole has a mass of 135 kg and is supported by its smooth ends against the vertical walls and by the tension T in the vertical cable. Compute the magnitudes of the reactions at A and B. 6 m T 11 m 11 m B

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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**Problem Statement:** The uniform 17-m pole has a mass of 135 kg and is supported by its smooth ends against the vertical walls and by the tension \( T \) in the vertical cable. Compute the magnitudes of the reactions at \( A \) and \( B \). **Diagram Explanation:** - The image depicts a right triangle formed by a pole, the wall, and the ground. - **Pole:** The hypotenuse of the triangle, labeled \( AB \), is 17 m long. - **Vertices:** - \( A \): Bottom-left corner where the pole meets the ground. - \( B \): Top-right corner where the pole meets the vertical wall. - **Side Lengths:** - The horizontal distance from \( A \) to the bottom of the wall is 11 m. - The vertical distance from \( B \) to \( A \) is 6 m. - **Tension \( T \):** A vertical cable from the top of the pole downward. **Objective:** Calculate the reaction forces at points \( A \) and \( B \). These are likely the forces exerted by the wall and ground to keep the pole in static equilibrium, considering its weight and the tension in the supporting cable.
Transcribed Image Text:**Problem Statement:** The uniform 17-m pole has a mass of 135 kg and is supported by its smooth ends against the vertical walls and by the tension \( T \) in the vertical cable. Compute the magnitudes of the reactions at \( A \) and \( B \). **Diagram Explanation:** - The image depicts a right triangle formed by a pole, the wall, and the ground. - **Pole:** The hypotenuse of the triangle, labeled \( AB \), is 17 m long. - **Vertices:** - \( A \): Bottom-left corner where the pole meets the ground. - \( B \): Top-right corner where the pole meets the vertical wall. - **Side Lengths:** - The horizontal distance from \( A \) to the bottom of the wall is 11 m. - The vertical distance from \( B \) to \( A \) is 6 m. - **Tension \( T \):** A vertical cable from the top of the pole downward. **Objective:** Calculate the reaction forces at points \( A \) and \( B \). These are likely the forces exerted by the wall and ground to keep the pole in static equilibrium, considering its weight and the tension in the supporting cable.
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