Assignment:
A particle of mass m is free to slide on a thin rod. The rod rotates in a plane about one end at constant angular velocity w. Show that the motion is given by
r=Ae^(-yt)+Be^(yt),
where y is a constant which you must find and A and B are arbitrary constants. Neglect gravity. Show that for a particular choice of initial conditions, (r(t=0)) and (v(t=0)) it is possible to obtain a solution such that r decreases continually in time, but that for any other choice r will eventually increase. (Exclude cases where the bead hits the origin.)
Provide complete and step by step solution for the question, use formulas.