Assignment:
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/x^2.
a) Find the potential energy function U(x)
b) Sketch the energy diagram for the system when the maximum kinetic energy is Ko=(1/2)mVo^2.
c) Find the equilibrium position Xo.
d) What is the frequency of small oscillation about Xo?
Provide complete and step by step solution for the question, use formulas.