On Translational Rectilinear Motion of a Rigid Body Carrying a Movable Inner Mass

We consider the motion of mechanical system consisting case (a rigid body) and inner mass material point). The circulates inside body on a circle centered at center body. suppose that absolute value velocity circular is constant. moves translationally rectilinearly flat horizontal surface with forces viscous friction dry Coulomb it. in vertical plane. perform full qualitative investigation dynamics this system. prove there always exists unique periodic velocity. study all possible types such motion. establish for any initial velocity, either reaches mode finite time or asymptotically approaches to it depending parameters problem.