Question: consider a particle with mass m moving in the potential...
Consider a particle with mass m moving in the potential , B>0, a>0.
1) Find equilibrium points and determine whether they are stable or not
2) Expand the potential in Taylor's series about the point of stable equilibrium, keeping only the first two non-zero terms.
3) Write down the approximate equation of motion that describes the particle's motion near the stable equilibrium and use it to find the angular frequency of oscillation of the particle.