Forces involved in principle of virtual work

AI Thread 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!
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Thread 'A bead-mass oscillatory system problem'
I can't figure out how to find the velocity of the particle at 37 degrees. Basically the bead moves with velocity towards right let's call it v1. The particle moves with some velocity v2. In frame of the bead, the particle is performing circular motion. So v of particle wrt bead would be perpendicular to the string. But how would I find the velocity of particle in ground frame? I tried using vectors to figure it out and the angle is coming out to be extremely long. One equation is by work...
Back
Top