Correct vector diagram of forces

In summary, the conversation discusses the conditions for static equilibrium of an object with a hinge and a cable. The horizontal component of the force must be to the right to balance the tension, while the vertical component can be either upwards or downwards. To determine the correct direction, one needs to consider the resultant torque at different pivot points.
  • #1
songoku
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Homework Statement
Please see below
Relevant Equations
Equilibrium
1662253423830.png
The answer is (B) but I don't understand why (C) is wrong. The force acting on the hinge has two components, horizontal and vertical. The horizontal component must be to the right to balance the horizontal component of tension but the vertical component can be either upwards or downwards. Wow to know the correct direction is downwards?

Thanks
 
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  • #2
Hint: What are the conditions for static equilibrium of such an object?
 
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  • #3
robphy said:
Hint: What are the conditions for static equilibrium of such an object?
I get the hint. I need to consider resultant torque at different pivot.

Thank you very much for the help robphy
 
  • #4
If you replace that hinge with a slider, which is free to move up and down that wall, an external down force would be needed to counteract the moment that W induces about the point of connection of the cable to the trapdoor.
 
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FAQ: Correct vector diagram of forces

1. What is a vector diagram of forces?

A vector diagram of forces is a graphical representation of the magnitude and direction of forces acting on an object. It is used to analyze and understand the net force acting on an object.

2. How do you draw a correct vector diagram of forces?

To draw a correct vector diagram of forces, you must first identify all the forces acting on the object and their respective magnitudes and directions. Then, using a scale, draw arrows to represent the forces, making sure to label each arrow with the force's magnitude and direction. Finally, add the forces' vectors tip to tail and draw a line from the starting point to the end point to represent the net force.

3. What is the purpose of a vector diagram of forces?

The purpose of a vector diagram of forces is to visually represent the forces acting on an object and determine the net force. It allows us to understand the direction and magnitude of each force and how they combine to affect the motion of an object.

4. How do you determine the net force from a vector diagram of forces?

To determine the net force from a vector diagram of forces, you need to add all the forces' vectors together using vector addition. This can be done by placing the vectors tip to tail and drawing a line from the starting point to the end point. The resulting vector represents the net force acting on the object.

5. What are the key components of a correct vector diagram of forces?

The key components of a correct vector diagram of forces are the forces acting on the object, their magnitudes and directions, and the resulting net force. It is also important to use a scale and label all the vectors to accurately represent the forces and their effects on the object.

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