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

1. Oct 28, 2008

### Benzoate

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)$$\int$$ d$$\varsigma$$/(1-$$\varsigma$$^4]).5), interval is : 0$$\leq$$x$$\leq$$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. Oct 28, 2008

### Benzoate

Maybe I should rephrase the question : Anybody having trouble reading my OP?

Last edited: Oct 28, 2008