Teardrop and heart orbits of a swinging Atwood's machine
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.
- Publication:
-
American Journal of Physics
- Pub Date:
- March 1994
- DOI:
- 10.1119/1.17602
- arXiv:
- arXiv:chao-dyn/9302006
- Bibcode:
- 1994AmJPh..62..231T
- Keywords:
-
- 03.20.+i;
- 02.30.Jr;
- Partial differential equations;
- Nonlinear Sciences - Chaotic Dynamics
- E-Print:
- CYCLER Paper 93feb008