A profiled rolling apparatus for lowering rolling resistance in track-guided, load-bearing movement applications. The rolling body, as part of a track roller, cam follower, caster wheel, or the like, has a radial groove (e.g. a V-shape with some internal angle) on which a non-linear profile is implemented. Profiles for various embodiments may be, but are not limited to, circular arcs, polynomials or other mathematical functions, or made up of multiple shorter linear and/or arc segments, creating a convex or concave contour on either side of the groove. Such crowning profiles may additionally or alternatively be implemented on the guiding track.