Motion of an anisotropic magnetizable elastomer in the field of a coil with current taking into account the interaction with inclined surface

In this paper, the motion of a spherical body with anisotropic magnetizable elastomer in a viscous liquid under the action of a magnetic field of the coil with current is investigated. A mathematical model of such a body motion taking into account the interaction (rolling, sliding) with the inclined plane is proposed. Calculated trajectories of the body movement from the initial position on the coil axis when the magnetic field is turned on are plotted. Parameters are determined at which the movement along the inclined plane is realized. Maximum deviation of the body from the coil axis for various problem parameters is calculated.