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We consider the problem of a sphere rolling on a curved surface and solve it by mapping it to the precession of a spin 1/2 in a magnetic field of variable magnitude and direction. The mapping can be of pedagogical use in discussing both rolling and spin precession. As an interesting example we show that the Landau-Zener problem corresponds to the rolling of a sphere on a Cornu spiral, and derive the probability of a non-adiabatic transition using the rolling language. We also discuss thedoi:10.1119/1.3456565 fatcat:ifm2yz3lpnd7tnhdeqdi47lomi