1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


  2. jcsd
  3. Oct 28, 2008 #2
    Maybe I should rephrase the question : Anybody having trouble reading my OP?
    Last edited: Oct 28, 2008
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Particle motion of P consists of a periodic oscillation
  1. Oscillation Period (Replies: 10)