The dynamics of a homogeneous disc on an inclined plane with friction

The problem of the motion of a homogeneous circular cylinder along a fixed rough inclined plane is discussed. It is assumed that the cylinder is supported on the plane by its base and executes continuous motion. The frictional forces and moment are calculated within the limits of the dynamically consistent model proposed by Ivanov, for which the pressure distribution over the contact area is non-uniform. A qualitative analysis of the dynamics of the cylinder is given in the case when the slope of the plane is less then the Coulomb coefficient of friction.