In this paper the authors present a classical type of solution to the problem of a sphere spinning on a curved surface in the presence of a lubricant. The necessary conditions for hydrodynamic lubrication are shown to exist in this situation which is a simulation of one element of the kinematic conditions which occur in angular contact bearings. The theory assumes that the lubricant is 1soviscous and that the surfaces are rigid; the pressure distribution has been deduced for these assumptions which correspond to the conditions under light loads. The complications which occur under heavier loads are discussed.
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