Question

A mass m slides on a frictionless ice rink. A circular wall constrains it to move inside a fixed ring of radius R (Note: gravity is irrelevant here; in the vertical direction the weight is simply opposed by a normal force from the frictionless ice.) At t = 0, the puck is moving along the inside of the ring withh velocity v0. The coefficient of friciton betweeen the puck and the wall is u Find the differential equation obeyed by v(t) Rumor has it athat one of the guesses va(t) = cexp(-At) or vb(t) = c / (1+At)^n works. Find the correct v(t) , and demonstrate that the other ansatz doesn't work.

Answer 1