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arXiv · 1201.4201

Jacobi Elliptic Functions and the Complete Solution to the Bead on the Hoop Problem

Thomas E. Baker·Andreas Bill
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Abstract

Jacobi elliptic functions are flexible functions that appear in a variety of problems in physics and engineering. We introduce and describe important features of these functions and present a physical example from classical mechanics where they appear: a bead on a spinning hoop. We determine the complete analytical solution for the motion of a bead on the driven hoop for arbitrary initial conditions and parameter values.

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Thomas E. Baker, Andreas Bill. 2012-01-20. Jacobi Elliptic Functions and the Complete Solution to the Bead on the Hoop Problem. https://doi.org/10.1119/1.3682321

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