1. The problem statement, all variables and given/known data A particle of mass m moves (in the region x>0) under a force F = -kx + c/x, where k and c are positive constants. Find the corresponding potential energy function. Determine the position of equilibrium, and the frequency of small oscillations about it. 3. The attempt at a solution I found the potential energy function by integrating -F(x)dx, and the position of equilibrium by putting F=0. I'm having difficulty even starting the third part, I think I have to do it like one does the damped harmonic oscillator. Any help would be greatly appreciated, thanks in advance.