I have three questions about a problem in mechanics(adsbygoogle = window.adsbygoogle || []).push({});

1. If you have found the equation of motion for a system

[tex]

m\ddot{x} + \frac {2ax_0^2} {x^3} = 0

[/tex]

where a and x0 are constants.

and you want to find the frequency of oscillations which ansatz should you make. You cant use x = A*exp(iwt)...i think.

2. If a particle of mass m moves in one dimension subject to the potential

[tex]

V = \frac {a} {[sin(x/x_0)]^2}

[/tex]

Under what conditions can action-angle variables be used?

3.

If you have an integral where the integrand is

[tex]

\sqrt{2m*(b - \frac{a}{[sin(x/x_0)]^2})}

[/tex]

how could you transform this to an easier integral?

When i integrate over a complete period ,0 pi, with matlab i get an infinte answer, of course. I guess that question number 2 could help me with this...but im not sure.

Any ideas?

Thank you.

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# Homework Help: Transform this to an easier integral?

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