# Equilibrium with Lagrangians

1. ### dEdt

289
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. ### Jorriss

What is the condition for equilibrium in newtonian mechanics?

3. ### dEdt

289
[tex]\frac{\partial V}{\partial x}=0./tex]. I'm having trouble connecting this to Lagrangians though....