A motor vehicle wheel set-up via a wheel holder is provided, which wheel holder is associated with the vehicle via at least one pivot in such a way that the plane of the wheel can exhibit first and second angular running positions. The set-up further has a binary actuator that has a fixed component and a moving component capable of translational movement with respect to the fixed component, moving component being secured to the wheel holder and the actuator comprising a device for the binary control of the moving member placing it in one of two stable states each allowing the wheel holder to be moved into an angular position corresponding to one angular position of the wheel plane.