This is a simulation of a disk on a turntable. The turntable starts from rest, and then experiences a uniform angular acceleration. The disk on the turntable keeps up with the turntable for a while, but then slides off the turntable. Note that the disk's motion after it starts to slide is something of an approximation.

How does the radius (the distance of the disk from the center of the turntable) and the coefficient of static friction (mu) affect when the disk begins to slide on the turntable. Why does the graph of the actual force of friction have the shape it does? What determines the value of the maximum possible force of static friction?