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-   -   Equilibrium with Lagrangians (http://www.physicsforums.com/showthread.php?t=655106)

 dEdt Nov26-12 11:08 PM

Equilibrium with Lagrangians

So let's say we have a mechanical system described by some Lagrangian $L=L(q_i,\dot{q}_i)$, where the qi's are the generalized coordinates of the system. Does the condition
$$\frac{\partial L}{\partial q_i}=0$$
give the equilibrium configurations of the system? Intuitively it seems so, but I can't prove it.

 Jorriss Nov26-12 11:30 PM

Re: Equilibrium with Lagrangians

What is the condition for equilibrium in newtonian mechanics?

 dEdt Nov28-12 11:15 AM

Re: Equilibrium with Lagrangians

Quote:
 Quote by Jorriss (Post 4174710) What is the condition for equilibrium in newtonian mechanics?
[tex]\frac{\partial V}{\partial x}=0./tex]. I'm having trouble connecting this to Lagrangians though....

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