Equilibrium with Lagrangians

1. Nov 26, 2012

dEdt

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.

2. Nov 26, 2012

Jorriss

What is the condition for equilibrium in newtonian mechanics?

3. Nov 28, 2012

dEdt

[tex]\frac{\partial V}{\partial x}=0./tex]. I'm having trouble connecting this to Lagrangians though....