Forces involved in principle of virtual work

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SUMMARY

The principle of virtual work states that for a system in equilibrium, the total virtual work done by external forces, such as gravity, is zero. In the discussed scenario, a rectangular system can deform into a parallelogram, allowing the left and right arms to move in opposite directions without changing the total work done. The assumption that reaction forces at the joints do not contribute to the net work is critical, as these internal forces are action-reaction pairs that do not affect the overall equilibrium of the system.

PREREQUISITES
  • Understanding of the principle of virtual work
  • Knowledge of equilibrium conditions in mechanics
  • Familiarity with internal and external forces in a mechanical system
  • Basic concepts of deformation in rigid body mechanics
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  • Study the implications of internal forces in mechanical systems
  • Explore the application of the principle of virtual work in structural analysis
  • Learn about equilibrium conditions in multi-body systems
  • Investigate the role of reaction forces in dynamic systems
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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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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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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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