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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.

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.

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:** Determine the tension in the cable and the horizontal and vertical components of reaction of the pin at \( A \). The pulley at \( D \) is frictionless and the cylinder weighs 80 lb. **Diagram Explanation:** The diagram consists of a horizontal beam pinned at point \( A \), extending to point \( C \), where it supports a hanging cylinder weighing 80 lb. The beam is supported by a cable that runs from point \( B \) over a frictionless pulley at point \( D \), connecting back to point \( C \). - **Beam \( ABC \):** - \( AB \) is a horizontal section 5 ft in length. - \( BC \) is another horizontal section 8 ft in length (5 ft + 3 ft). - **Pulley at \( D \):** - Positioned vertically above \( B \), supporting the cable. - **Cable:** - Runs from \( B \) to \( D \) to \( C \). - **Forces:** - The weight of the cylinder creates a downward force of 80 lb at point \( C \). - The reaction at pin \( A \) has horizontal and vertical components to be determined. **Objective:** - Determine the tension in the cable. - Calculate the reaction components at pin \( A \).
Transcribed Image Text:**Problem 5-16:** Determine the tension in the cable and the horizontal and vertical components of reaction of the pin at \( A \). The pulley at \( D \) is frictionless and the cylinder weighs 80 lb. **Diagram Explanation:** The diagram consists of a horizontal beam pinned at point \( A \), extending to point \( C \), where it supports a hanging cylinder weighing 80 lb. The beam is supported by a cable that runs from point \( B \) over a frictionless pulley at point \( D \), connecting back to point \( C \). - **Beam \( ABC \):** - \( AB \) is a horizontal section 5 ft in length. - \( BC \) is another horizontal section 8 ft in length (5 ft + 3 ft). - **Pulley at \( D \):** - Positioned vertically above \( B \), supporting the cable. - **Cable:** - Runs from \( B \) to \( D \) to \( C \). - **Forces:** - The weight of the cylinder creates a downward force of 80 lb at point \( C \). - The reaction at pin \( A \) has horizontal and vertical components to be determined. **Objective:** - Determine the tension in the cable. - Calculate the reaction components at pin \( A \).
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