So let's say we have a mechanical system described by some Lagrangian [itex]L=L(q_i,\dot{q}_i)[/itex], where the q(adsbygoogle = window.adsbygoogle || []).push({}); _{i}'s are the generalized coordinates of the system. Does the condition

[tex]\frac{\partial L}{\partial q_i}=0[/tex]

give the equilibrium configurations of the system? Intuitively it seems so, but I can't prove it.

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# Equilibrium with Lagrangians

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