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Equilibrium with Lagrangians

by dEdt
Tags: equilibrium, lagrangians
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dEdt
#1
Nov26-12, 11:08 PM
P: 282
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.
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Jorriss
#2
Nov26-12, 11:30 PM
P: 1,042
What is the condition for equilibrium in newtonian mechanics?
dEdt
#3
Nov28-12, 11:15 AM
P: 282
Quote Quote by Jorriss View Post
What is the condition for equilibrium in newtonian mechanics?
[tex]\frac{\partial V}{\partial x}=0./tex]. I'm having trouble connecting this to Lagrangians though....


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