О динамике диска на наклонной плоскости с трением

The problem of motion of a homogeneous circular disk on an inclined plane with friction is discussed. Dynamically consistent model of friction suggested by A.P. Ivanov is used. It is proved that the motion of the disk depends essentially on the ratio of the coefficient of friction to the slope ratio of the plane. If this ratio is more than one, the disk stops at a finite moment. If the ratio is less than or equal to one, the disk moves infinitely. In this case the limiting motions are investigated.