Abstract
A numerical solution of Euler’s equations for a freely rotating asymmetrical top is applied to an analysis of the relative stability of rotation of a gymnast performing a layout back somersault with and without a full twist. The results suggest that successful performance of the stunt without a full twist has less tolerance for error in the initial rotational velocity than does the stunt with a full twist. This analysis provides an interesting illustration that can be used in advanced undergraduate mechanics courses. The analysis also demonstrates the potential for increased utilization of computers and numerical techniques in the undergraduate curriculum.
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