# Equilibrium with Lagrangians

by dEdt
Tags: equilibrium, lagrangians
 P: 282 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.