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Determine the reactions at the supports.

Determine the reactions at the supports.

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 5-11 **Problem Statement:** Determine the reactions at the supports. **Diagram Description:** The diagram depicts a simply supported beam, labeled \(AB\), with a span of 6 meters (3 meters from point \(A\) to the midpoint and 3 meters from the midpoint to point \(B\)). The beam is subjected to a uniform distributed load of 400 N/m over its entire length. The support at \(A\) is a roller, and the support at \(B\) is a pin. --- ### Problem 5-16 **Problem Statement:** Determine the tension in the cable and the horizontal and vertical components of the reaction of the pin at \(A\). The pulley at \(D\) is frictionless and the cylinder weighs 80 lbs. **Diagram Description:** The second diagram shows a pulley system with a horizontal beam \(ABC\) and a cable running over a pulley at point \(D\). The beam extends horizontally from point \(A\) to point \(C\). The cable supports a weight of 80 lbs and runs over the frictionless pulley, creating tension in the cable. The tension is directed upwards from point \(D\) and has a diagonal component between points \(B\) and the pulley \(D\). The vertical distance from the beam to the pulley is given as 9 feet. The setup requires analyzing forces at the pin \(A\) to determine the horizontal and vertical reactions. These problems require knowledge of static equilibrium equations to solve for the reactions at the supports in Problem 5-11, and the tension and reactions in Problem 5-16.
Transcribed Image Text:### Problem 5-11 **Problem Statement:** Determine the reactions at the supports. **Diagram Description:** The diagram depicts a simply supported beam, labeled \(AB\), with a span of 6 meters (3 meters from point \(A\) to the midpoint and 3 meters from the midpoint to point \(B\)). The beam is subjected to a uniform distributed load of 400 N/m over its entire length. The support at \(A\) is a roller, and the support at \(B\) is a pin. --- ### Problem 5-16 **Problem Statement:** Determine the tension in the cable and the horizontal and vertical components of the reaction of the pin at \(A\). The pulley at \(D\) is frictionless and the cylinder weighs 80 lbs. **Diagram Description:** The second diagram shows a pulley system with a horizontal beam \(ABC\) and a cable running over a pulley at point \(D\). The beam extends horizontally from point \(A\) to point \(C\). The cable supports a weight of 80 lbs and runs over the frictionless pulley, creating tension in the cable. The tension is directed upwards from point \(D\) and has a diagonal component between points \(B\) and the pulley \(D\). The vertical distance from the beam to the pulley is given as 9 feet. The setup requires analyzing forces at the pin \(A\) to determine the horizontal and vertical reactions. These problems require knowledge of static equilibrium equations to solve for the reactions at the supports in Problem 5-11, and the tension and reactions in Problem 5-16.
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