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

  1. Oct 28, 2008 #1
    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=V0(x/b)4, where V0 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
     
  2. jcsd
  3. Oct 28, 2008 #2
    Maybe I should rephrase the question : Anybody having trouble reading my OP?
     
    Last edited: Oct 28, 2008
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