Problem 1.271

A uniform cube with edge \(a\) rests on a horizontal plane whose friction coefficient equals \(k\). The cube is set in motion with an initial velocity, travels some distance over the plane and comes to a stand- still. Explain the disappearance of the angular momentum of the cube relative to the axis lying in the plane at right angles to the cube's motion direction. Find the distance between the resultants of gravitational forces and the reaction forces exerted by the supporting plane.