In the diagram shown the pulley at frictionless and the cylindrical load weighs 800.
A. Determine the tension in the cable.
B. Determine the horizontal component of the reaction of the pin A.
C. Determine the vertical component of the reaction of the pin A.
Diagram?
To answer these questions, we need to analyze the forces acting on the system. Let's break it down step by step:
A. Determine the tension in the cable:
- In order to find the tension in the cable, we need to consider the equilibrium condition of the load.
- The weight of the load is acting vertically downwards with a force of 800 N, and it is balanced by the tension in the cable.
- Since the pulley is frictionless, the tension in the cable remains constant throughout.
- Therefore, the tension in the cable is equal to the weight of the load, which is 800 N.
B. Determine the horizontal component of the reaction of the pin A:
- Pin A is the point where the cable is attached to the wall.
- Since the pulley is frictionless, it does not contribute to any horizontal forces.
- The only horizontal force acting on the system is the horizontal component of the reaction at pin A.
- According to Newton's third law, the horizontal component of the reaction at pin A is equal in magnitude and opposite in direction to the tension in the cable.
- Therefore, the horizontal component of the reaction at pin A is also 800 N, but in the opposite direction.
C. Determine the vertical component of the reaction of the pin A:
- The vertical component of the reaction at pin A is determined by the vertical forces acting on the system.
- The weight of the load is acting vertically downwards with a force of 800 N.
- Since the system is in equilibrium, the vertical component of the tension in the cable must balance the weight of the load.
- Therefore, the vertical component of the reaction at pin A is equal to the weight of the load, which is 800 N.
In summary:
A. The tension in the cable is 800 N.
B. The horizontal component of the reaction at pin A is -800 N (opposite direction).
C. The vertical component of the reaction at pin A is 800 N.