- #1
Jason Ko
- 21
- 6
- TL;DR
- I found this theorem in D. Morin's book on mechanics. How to prove it mathematically? Does it have a name?
I The direction of three forces acting on a line has to be concurrent?
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In a system in equilibrium, if the third line of action does not intersect the crossing point of two force lines, a net torque is created, which contradicts the conditions for equilibrium. The discussion highlights the importance of understanding the proof provided in the textbook regarding this concept. Participants acknowledge a lack of initial comprehension but express agreement with the established principles. The exchange emphasizes the necessity of careful reading and comprehension in physics discussions. Understanding these fundamental concepts is crucial for grasping equilibrium conditions.
- #2
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Take the point of crossing of two of the force lines of action. If the third line of action does not pass through that crossing, there is a net torque and therefore this cannot happen for a system in equilibrium.
- #3
Jason Ko
- 21
- 6
Thanks! I was being stupid
- #4
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Probably you didn't read the "simple" proof provided below the statement that you highlighted in the textbook.Jason Ko said:
- #5
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Nor I. Good thing I agree with Morin though …kuruman said:
