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The evaluation of variation in oscillation time period of a simple pendulumas its mass varies proves a rich source of discussion in a physics class-room,overcoming erroneous notions carried forward by students as to what constitutesa pendulum's length due to picking up only the results of approximations andignoring the rigorous definition. The discussion also presents a exercise forevaluating center of mass of geometrical shapes and system of bodies. In all,the pedagogical value of the problem is worth both theoretical and experimentalefforts. This article discusses the theoretical considerations.

The Moving Center of Mass of a Leaking Bob