the Euler-Lagrange



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Topic: Science > Physics
User: "_-karolski-_"
Date: 06 Feb 2008 04:28:10 AM
Object: the Euler-Lagrange
Problem gives you : a particle of mass m that moves in one dimension
such that it has Lagrangian
L=1/12 m^2 x^4 + m x^4 V(x) - V^2(x),
where V(x) is of course differentiable, and the question is to find
the equation of motion for x(t).
I know that I am supposed substitute it into the Euler-Lagrange
equation, however I don't see how to do it. Anybody can help?
.

User: "Eric Gisse"

Title: Re: the Euler-Lagrange 06 Feb 2008 04:39:52 AM
On Feb 5, 7:28 pm, _-karolski-_ <karol.bald...@gmail.com> wrote:

Problem gives you : a particle of mass m that moves in one dimension
such that it has Lagrangian
L=1/12 m^2 x^4 + m x^4 V(x) - V^2(x),
where V(x) is of course differentiable, and the question is to find
the equation of motion for x(t).
I know that I am supposed substitute it into the Euler-Lagrange
equation, however I don't see how to do it. Anybody can help?

Do you know what the Euler-Lagrange equations are?
If so....what exactly is your problem?
.


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