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Q.2) A weight W of 10 N is supported by a system consisting of a cable, two pulleys and a frictionless glider as shown below. Determine the force in bar BE and the reaction between glider B and bar AC. Assume that pulleys at B and D are of insignificant dimensions. Draw the necessary free-body diagram. A B C W 25° α = 20° D C E

Q.2) A weight W of 10 N is supported by a system consisting of a cable, two pulleys and a frictionless glider as shown below. Determine the force in bar BE and the reaction between glider B and bar AC. Assume that pulleys at B and D are of insignificant dimensions. Draw the necessary free-body diagram. A B C W 25° α = 20° D C E

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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**Problem Statement:** **Q.2)** A weight \( W \) of 10 N is supported by a system consisting of a cable, two pulleys, and a frictionless glider as shown below. Determine the force in bar BE and the reaction between glider B and bar AC. Assume that pulleys at B and D are of insignificant dimensions. Draw the necessary free-body diagram. --- **Detailed Diagram Explanation:** The diagram illustrated shows the following components: 1. A horizontal bar labeled AC. 2. A vertical bar labeled BD. 3. An inclined bar BE making an angle \( \alpha = 20^\circ \) with the horizontal. 4. A weight (10 N) labeled W hanging vertically downward from the point B. 5. A pulley at point B through which a cable passes. 6. Another pulley at point D making an angle of \( 25^\circ \) with the horizontal through which the cable also passes. 7. The bars and cable are all connected in such a way as to support the weight W. The problem requires you to: 1. Determine the force in bar BE. 2. Determine the reaction between glider B and bar AC. 3. Draw the necessary free-body diagram. **Solution Outline for Students:** 1. Identify all forces acting on the system: the tension in the cable, the weight \( W \), the reactions at points A, B, C, and E. 2. Compute the equilibrium conditions for forces in the horizontal and vertical directions. 3. Utilize trigonometric relationships given the angles provided (20° for BE and 25° for the pulley at D). 4. Draw the free-body diagrams for each component (glider B, bar AC, bar BE). 5. Utilize the conditions of equilibrium to solve for the forces in bar BE and the reactions at B. This will help in understanding the mechanics of systems involving cables and pulleys and applying equilibrium conditions to solve for unknown forces and reactions.
Transcribed Image Text:**Problem Statement:** **Q.2)** A weight \( W \) of 10 N is supported by a system consisting of a cable, two pulleys, and a frictionless glider as shown below. Determine the force in bar BE and the reaction between glider B and bar AC. Assume that pulleys at B and D are of insignificant dimensions. Draw the necessary free-body diagram. --- **Detailed Diagram Explanation:** The diagram illustrated shows the following components: 1. A horizontal bar labeled AC. 2. A vertical bar labeled BD. 3. An inclined bar BE making an angle \( \alpha = 20^\circ \) with the horizontal. 4. A weight (10 N) labeled W hanging vertically downward from the point B. 5. A pulley at point B through which a cable passes. 6. Another pulley at point D making an angle of \( 25^\circ \) with the horizontal through which the cable also passes. 7. The bars and cable are all connected in such a way as to support the weight W. The problem requires you to: 1. Determine the force in bar BE. 2. Determine the reaction between glider B and bar AC. 3. Draw the necessary free-body diagram. **Solution Outline for Students:** 1. Identify all forces acting on the system: the tension in the cable, the weight \( W \), the reactions at points A, B, C, and E. 2. Compute the equilibrium conditions for forces in the horizontal and vertical directions. 3. Utilize trigonometric relationships given the angles provided (20° for BE and 25° for the pulley at D). 4. Draw the free-body diagrams for each component (glider B, bar AC, bar BE). 5. Utilize the conditions of equilibrium to solve for the forces in bar BE and the reactions at B. This will help in understanding the mechanics of systems involving cables and pulleys and applying equilibrium conditions to solve for unknown forces and reactions.
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