Motion of a solid body supported on a narrow rectangular area on a horizontal plane with orthotropic friction. Part 1. Inertia motion

The problem of motion of a solid body which rests on a narrow rectangular area carried on a horizontal plane is discussed, assuming that the force of friction is orthotropic. A relationship is formulated between the velocity of the point of intersection of the diagonals of this area and the angular velocity of the body at the moment of stopping. The findings can be applied to simulation of the motion of a system of bodies and to solution of contact problems.