A bearing apparatus is disclosed. Such a bearing apparatus may comprise a rotor including at least one bearing element mounted to the rotor and a stator including at least one bearing element mounted to the stator. At least one compliant member may be positioned between at least one selected bearing element of the at least one bearing element mounted to the rotor and the at least one bearing element mounted to the stator. Mechanical systems including such a bearing apparatus are disclosed, such as, for example, a motor for use in subterranean drilling. A method of assembling a bearing apparatus is disclosed. More specifically, a rotor and a stator each including at least one bearing element may be provided and a compressive force may be applied to the rotor and the stator to compress the bearing surfaces of the rotor and the stator against one another. Rotors and stators are disclosed.