No-Slip Motion of a Spherical Magnet on the Top of a Conductive Plate

Abstract

The trajectory of a spherical magnet which rolls without slipping on a conductive plate is modelled. A time-stepping T − Ω method is used to find the electromagnetic force and torque on the magnet. Since the degrees of freedom involve both the position and the direction of magnetization of the spherical magnet, the motion here cannot be reduced to the calculation of a single friction force coefficient. The trajectory of the spherical magnet is computed and compared to our experimental data.