Teardrop and heart orbits of a swinging Atwood's Machine
arXiv:chao-dyn/9302006 · doi:10.1119/1.17602
Abstract
An exact solution is presented for a swinging Atwood's machine. This teardrop-heart orbit is constructed using Hamilton-Jacobi theory. The example nicely illustrates the utility of the Hamilton-Jacobi method for finding solutions to nonlinear mechanical systems when more elementary techniques fail.
CYCLER Paper 93feb008