%0 Journal Article
%T Jacobi Elliptic Functions and the Complete Solution to the Bead on the Hoop Problem
%A Thomas E. Baker
%A Andreas Bill
%J Physics
%D 2012
%I arXiv
%R 10.1119/1.3682321
%X 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.
%U http://arxiv.org/abs/1201.4201v1