Virtual work in a pulley system

In summary, virtual work in a pulley system is the calculation of work done by a force without physically applying it. This is done using the principle of virtual work, which equates work to the change in potential energy. It offers advantages of efficiency and accuracy, but is limited by assumptions of a frictionless and equilibrium system. Virtual work can be applied in various real-world situations, including engineering and physics.
  • #1
new90
90
9
Homework Statement
The system is in static equilibrium.Use the principle of virtual to find the weights of A and B.Neglect the weight of the strings and the friction of the pulley
Relevant Equations
no equation
If 1kg make a displacement of 1unit upward then A make a 1/2unit down because 1/sin 30.after that i have no idea what do I will really need help.
Thanks!
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  • #2
In order for 1 Kg mass to move, an additional force would need to be applied on it and the geometry would change.
 
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ok thanks I already solve it
 

1. What is virtual work in a pulley system?

Virtual work in a pulley system refers to the work done by the tension in the ropes or cables of the pulley system. This work is considered "virtual" because it does not result in any actual displacement or movement of the system.

2. How is virtual work calculated in a pulley system?

To calculate virtual work in a pulley system, you need to first determine the tension in each rope or cable using the principles of static equilibrium. Then, you can use the formula W = Fd, where W is the virtual work, F is the tension, and d is the distance over which the tension acts.

3. What is the significance of virtual work in a pulley system?

Virtual work in a pulley system is important in understanding the mechanical advantage of the system. It allows us to analyze the forces and tensions involved and determine the efficiency of the system in transferring energy.

4. How does the number of pulleys affect virtual work in a pulley system?

The number of pulleys in a system does not affect the virtual work, as long as the system remains in static equilibrium. However, more pulleys can increase the mechanical advantage of the system, making it easier to lift heavy objects with less force.

5. Can virtual work be negative in a pulley system?

Yes, virtual work can be negative in a pulley system. This occurs when the tension in one rope or cable decreases while the tension in another increases, resulting in a net negative work. This can happen when the direction of movement changes or when friction is present in the system.

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