1. The problem statement, all variables and given/known data A mass m is attached to a spring with spring constant k. There is a coefficient of static friction, us The coefficient of kinetic friction is uk Suppose you pull the mass to the right and release it from rest. You find there is a limiting value of x = A0 > 0 below which the mass just sticks and does not move. For x > A0 , it starts sliding when you release it from rest. Find A0 . 2. Relevant equations ## x''(t) + \omega x(t) - ( \mu mg)/k =0 ## 3. The attempt at a solution I solved the ODE for Simple Harmonic Motion, and I get that ##x(t)=B sin ( \omega t) + C ( \omega t) -umg/k##, but I'm not sure where to go from there. The derivative at x = A0 must be zero, but how does that help me find A0 itself?