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Putnam 1958 February A2

Source: Putnam 1958 February

July 18, 2022
Putnamgeometry3D geometryspherephysics

Problem Statement

Two uniform solid spheres of equal radii are so placed that one is directly above the other. The bottom sphere is fixed, and the top sphere, initially at rest, rolls off. At what point will contact between the two spheres be "lost"? Assume the coefficient of friction is such that no slipping occurs.