A particle moves in a one-dimensional potential given by V(x) = Vo(e^-ax + bx),(V(x) is potential not velocity) where Vo, a and b are all positive constants.
(a) Find the force on the particle at any point x.
(b) Sketch the potential and the force as functions of x. Make a Taylor expansion of the potential about the equilibrium point.
(c) What condition must be satisfied by the constants if the harmonic approximation is to be valid?
(d) If the equilibrium point is a stable one, find the frequency for small oscillations about this point. WELL EXPLAINED ANSWERS GET BETTER RATINGS.