This research deals with nonlinear dynamical behaviors of a rigid bar between a diamagnetic slab and a magnet excited in the horizontal direction. In our analytical modeling, the rigid bar has magnetic dipoles with masses at both its ends, which are nonlinearly supported by electromagnetic forces. Nonlinearly coupled equations of translation and rotation of the rigid bar were described and dynamic behavior of the bar was examined numerically. A combination resonance of the vertical oscillation and the rotation was confirmed by numerical results. This resonance was also obserbed in our experiments.