Small Oscillations about the equilibrium point:

[djames1009]

Homework Statement

v(x)= (1/x^2) -(1/x) Find the frequency of small osciallations about the equilibrium point

Homework Equations

The Attempt at a Solution

I have so far worked out the equilibrium point is at x=2, to get this i differentiated v(x) and solved it, but could anybody help me on how i could work out the frequency of small oscialltions for this problem?

 

[flatmaster]

It's been a while, but I think I know what's next. You need to approximate the function around the point x=2. Do a taylor series and hopefully the higher order terms are much smaller than the quadratic term. From here you can call it a simple harmonic oscillator.