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*5-16. Determine the tension in the cable and the horizontal and vertical components of reaction of the pin A. The pulley at D is frictionless and the cylinder weighs 80 lb. 5 ft- -3f

*5-16. Determine the tension in the cable and the horizontal and vertical components of reaction of the pin A. The pulley at D is frictionless and the cylinder weighs 80 lb. 5 ft- -3f

Elements Of Electromagnetics
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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**Problem 5-16:** **Objective:** Determine the tension in the cable and the horizontal and vertical components of reaction at pin \( A \). **Description:** - **Setup:** A horizontal beam, \( ABC \), is supported by a pin at \( A \) and a pulley at \( D \). - The beam has a length of \( 13 \, \text{ft} \) with distances: - \( AB = 5 \, \text{ft} \) - \( BC = 8 \, \text{ft} \) - A cable attached at point \( B \) runs over a frictionless pulley at \( D \). - A weight of \( 80 \, \text{lb} \) is suspended from point \( C \). **Diagram Explanation:** - The diagram shows the beam \( ABC \) horizontally with dimensions marked. - \( D \) denotes the position of the pulley, vertically above point \( B \) at a height of \( 2 \, \text{ft} \). - The tension in the cable is indicated as \( T \). **Assumptions:** - Pulley \( D \) is frictionless. - The system is in static equilibrium, meaning the sum of forces and moments are zero. **Approach:** 1. Apply equilibrium equations: - Sum of vertical forces = 0 - Sum of horizontal forces = 0 - Sum of moments about point \( A \) = 0 Use these principles to solve for \( T \) and the reaction components at \( A \).
Transcribed Image Text:**Problem 5-16:** **Objective:** Determine the tension in the cable and the horizontal and vertical components of reaction at pin \( A \). **Description:** - **Setup:** A horizontal beam, \( ABC \), is supported by a pin at \( A \) and a pulley at \( D \). - The beam has a length of \( 13 \, \text{ft} \) with distances: - \( AB = 5 \, \text{ft} \) - \( BC = 8 \, \text{ft} \) - A cable attached at point \( B \) runs over a frictionless pulley at \( D \). - A weight of \( 80 \, \text{lb} \) is suspended from point \( C \). **Diagram Explanation:** - The diagram shows the beam \( ABC \) horizontally with dimensions marked. - \( D \) denotes the position of the pulley, vertically above point \( B \) at a height of \( 2 \, \text{ft} \). - The tension in the cable is indicated as \( T \). **Assumptions:** - Pulley \( D \) is frictionless. - The system is in static equilibrium, meaning the sum of forces and moments are zero. **Approach:** 1. Apply equilibrium equations: - Sum of vertical forces = 0 - Sum of horizontal forces = 0 - Sum of moments about point \( A \) = 0 Use these principles to solve for \( T \) and the reaction components at \( A \).
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