Forces involved in principle of virtual work

Click For Summary
The principle of virtual work indicates that a system can remain in equilibrium if the total virtual work done by weights is zero, allowing for deformation into a parallelogram. However, this assumes that reaction forces at the joints do not contribute to the work done, raising questions about the validity of this assumption. The discussion emphasizes that forces at the joints are internal and consist of action-reaction pairs between bars. Acknowledging these internal forces is crucial for a complete understanding of the system's dynamics. Overall, the equilibrium condition relies heavily on the treatment of internal forces within the system.
phantomvommand
Messages
287
Reaction score
39
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?
 
Physics news on Phys.org
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.
 
  • Like
Likes phantomvommand
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!
 
If have close pipe system with water inside pressurized at P1= 200 000Pa absolute, density 1000kg/m3, wider pipe diameter=2cm, contraction pipe diameter=1.49cm, that is contraction area ratio A1/A2=1.8 a) If water is stationary(pump OFF) and if I drill a hole anywhere at pipe, water will leak out, because pressure(200kPa) inside is higher than atmospheric pressure (101 325Pa). b)If I turn on pump and water start flowing with with v1=10m/s in A1 wider section, from Bernoulli equation I...

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 8 ·
Replies
8
Views
852
Replies
22
Views
2K
Replies
5
Views
1K
Replies
29
Views
3K
  • · Replies 57 ·
2
Replies
57
Views
5K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
14
Views
1K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
9
Views
2K