Impact-oscillation movement of a rigid body between rectilinear stops converging at an angle (Q1326193)

The title problem is examined in its ``plane formulation'', with the cases of a rigid body with two translational degrees of freedom (of a material point) and a round body possessing an additional rotational mobility being considered separately. It is assumed that in the intervals between collisions with the stops the body moves rectilinearly through inertia. Collision of the body with the stops is described within the framework of stereo-mechanical impact theory. The necessary and sufficient conditions of realization of quasiplastic collision -- an infinite-impact process of finite duration at the end of which the body arrives at the apex of the angle -- are determined.