Dynamics of the looping pendulum: theory, simulation, and experiment
Abstract
The looping pendulum is a simple physical system consisting of two masses connected by a string that passes over a rod. We derive equations of motion for the looping pendulum using Newtonian mechanics, and show that these equations can be solved numerically to give a good description of the system's dynamics. The numerical solution captures complex aspects of the looping pendulum's behavior, and is in good agreement with the experimental results.
- Publication:
-
European Journal of Physics
- Pub Date:
- November 2021
- DOI:
- 10.1088/1361-6404/ac247f
- arXiv:
- arXiv:2103.14752
- Bibcode:
- 2021EJPh...42f5010D
- Keywords:
-
- looping pendulum;
- capstan equation;
- theoretical and experimental verification;
- Physics - Classical Physics;
- Physics - Physics Education
- E-Print:
- 20 pages, 11 figures. The following article has been submitted to American Journal of Physics. After it is published, it will be found at https://aapt.scitation.org/journal/ajp