Motion of solids along a plane under the assumption that the friction is anisotropic and the contact area of the solid with the plane is a circle, a thin ring or a narrow rectangular area is studied. Moreover, for a circular contact area, the cases of uniform contact pressure distribution or the pressure distribution according to the law of Hertz and Boussinesq are considered. For each of the cases, the dependence between the linear speed of the center of the contact area and the angular velocity of the moment of inertia at the time moment corresponding to the end of the motion. The corresponding theorems have been formulated and proved.
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