A particle of mass m moves in one dimension along the positive x axis. It is acted on by a constant force directed toward the origin with magnitude B, and an inverse square law repulsive force with magnitude A /x2.
a. Find the potential energy function U(x).
b. Sketch the energy diagram for the system when the maximum kinetic energy is K0 = mv02.
c. Find the equilibrium position, x0.
d. What is the frequency of small oscillations about x0?