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A 800 kg mass is hanging from the pulley of a frame as shown below. ermine: a) the support reactions at A and C.

A 800 kg mass is hanging from the pulley of a frame as shown below. ermine: a) the support reactions at A and C.

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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### Mechanics - Static Equilibrium Problem **Problem Statement:** *Q.2) A 800 kg mass is hanging from the pulley of a frame as shown below. Determine:* - **(a)** the support reactions at A and C. - **(b)** the force acting on member AB at pin B. **Diagram Description:** The given diagram illustrates a mechanical frame supporting a hanging mass via a pulley system. The setup consists of three horizontal members (labeled A, B, and C) connected with pin joints at various places, and the frame is entirely connected to a vertical wall. Below are the specific dimensions and configurations provided in the diagram: - Member C is connected horizontally from the wall and extends 2 meters to the right. - Member B is connected vertically upwards from member C with a length of 0.5 meters. - Member A is another horizontal member extending 2.5 meters right from the wall joint, connecting to member B. - The pulley has a diameter of 0.3 meters and is placed at the end of member B. - A mass of 800 kg is hanging vertically down from the pulley. **Dimensions:** - Vertical length from the wall to member C: 1.5 meters. - Length of member A: 2 meters. - Vertical distance between member C and member A: 1.5 meters. - Horizontal distance from the end of member A to the vertical member B: 0.5 meters. - Radius of the pulley (half the diameter): 0.15 meters. ### Explanation: *Determine the support reactions at A and C:* - These reactions are the forces exerted by the wall to support the frame at points A and C. These forces will ensure the frame remains in static equilibrium under the influence of the 800 kg mass. *Determine the force acting on member AB at pin B:* - This force is due to the mass hanging from the pulley. The tension in the cable supporting the mass would deliver a vertical and horizontal component of force at pin B that holds the pulley. By resolving the forces and moments at each point (A, B, C) and using statics principles (Sum of Forces in X, Sum of Forces in Y, and Sum of Moments = 0), we can solve for the unknown support reactions and the force acting on member AB at pin B.
Transcribed Image Text:### Mechanics - Static Equilibrium Problem **Problem Statement:** *Q.2) A 800 kg mass is hanging from the pulley of a frame as shown below. Determine:* - **(a)** the support reactions at A and C. - **(b)** the force acting on member AB at pin B. **Diagram Description:** The given diagram illustrates a mechanical frame supporting a hanging mass via a pulley system. The setup consists of three horizontal members (labeled A, B, and C) connected with pin joints at various places, and the frame is entirely connected to a vertical wall. Below are the specific dimensions and configurations provided in the diagram: - Member C is connected horizontally from the wall and extends 2 meters to the right. - Member B is connected vertically upwards from member C with a length of 0.5 meters. - Member A is another horizontal member extending 2.5 meters right from the wall joint, connecting to member B. - The pulley has a diameter of 0.3 meters and is placed at the end of member B. - A mass of 800 kg is hanging vertically down from the pulley. **Dimensions:** - Vertical length from the wall to member C: 1.5 meters. - Length of member A: 2 meters. - Vertical distance between member C and member A: 1.5 meters. - Horizontal distance from the end of member A to the vertical member B: 0.5 meters. - Radius of the pulley (half the diameter): 0.15 meters. ### Explanation: *Determine the support reactions at A and C:* - These reactions are the forces exerted by the wall to support the frame at points A and C. These forces will ensure the frame remains in static equilibrium under the influence of the 800 kg mass. *Determine the force acting on member AB at pin B:* - This force is due to the mass hanging from the pulley. The tension in the cable supporting the mass would deliver a vertical and horizontal component of force at pin B that holds the pulley. By resolving the forces and moments at each point (A, B, C) and using statics principles (Sum of Forces in X, Sum of Forces in Y, and Sum of Moments = 0), we can solve for the unknown support reactions and the force acting on member AB at pin B.
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