(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A particle P of mass m moves on the x-axis under the force field with potential energy V=V_{0}(x/b)^{4}, where V_{0}and b are positive constants. Show that any motion of P consists of a periodic oscillation with centre at the origin. Show further that, when oscillation has amplitude a, the period tau is given by

tau=2sqrt(2)*(m/V0)^(.5)*((b^2)/a)[tex]\int[/tex] d[tex]\varsigma[/tex]/(1-[tex]\varsigma[/tex]^4])^{.5}), interval is : 0[tex]\leq[/tex]x[tex]\leq[/tex]1

2. Relevant equations

3. The attempt at a solution

Not really sure what equation I am supposed to derived.

since the problem mentions motion, I should probably start off with the equation for motion

dx/dt=+[2(E-V(x))]^{.5}

dx/dt=-[2(E-V(x))]^{.5}

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# Homework Help: Particle motion of P consists of a periodic oscillation

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