Equilibrium with Lagrangians

  1. So let's say we have a mechanical system described by some Lagrangian [itex]L=L(q_i,\dot{q}_i)[/itex], where the qi'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.
     
  2. jcsd
  3. What is the condition for equilibrium in newtonian mechanics?
     
  4. [tex]\frac{\partial V}{\partial x}=0./tex]. I'm having trouble connecting this to Lagrangians though....
     
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