Forces involved in principle of virtual work

In summary, the principle of virtual work states that for a system in equilibrium, the work done by external and internal forces during virtual displacements is zero. Key forces involved include applied forces, constraint forces, and reaction forces, which interact during virtual displacements to maintain equilibrium. The principle is used in mechanics and structural analysis to derive equations of motion and analyze stability, emphasizing the relationship between force systems and virtual displacements in a mechanical context.
  • #1
phantomvommand
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Homework Statement
See picture below
Relevant Equations
Work done = Fd
Screenshot 2024-05-28 at 12.46.18 AM.png

The answer is as such: There’s only one way for the system to move: the rectangle can deform into a parallelogramso that the left horizontal arm moves up, and the right horizontal arm moves down by thesame amount. Then the total virtual work done on the scale by the weights is zero, so thesystem can be in equilibrium no matter where on the arms the weights are placed.

While I can understand this, this assumes that there is 0 work done by reaction forces at the joints, so the net work done on the system is entirely due to gravity. How fair is this assumption?
 
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  • #2
The forces in the joints are internal forces of the system. At a joint where two bars meet, the forces that the two bars exert on each other are action-reaction forces.
 
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  • #3
TSny said:
The forces in the joints are internal forces of the system. At a joint where two bars meet, the forces that the two bars exert on each other are action-reaction forces.
Oh right, forgot about that! Thanks!
 
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