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Atwood's Machine Without Hanging Masses

Abstract : Atwood's machine is presented in introductory physics courses as an exercise in the simultaneous solution of Newton's second law for translational and rotational motions, assuming the pulley has nonnegligible mass. Occasionally it is also used as a lecture demonstration or for quantitative laboratory measurements of a system undergoing constant acceleration. As discussed in this paper, one can progressively simplify the apparatus while maintaining these pedagogical goals, to end up with an easy way to measure the value of the freefall acceleration, g, by counting to ten.