Looping Pendulum: Theory, Simulation, and Experiment: https://arxiv.org/abs/2103.14752
Collin Dannheim, Luke Ignell, Brendan O'Donnell, Robert McNees, Constantin Rasinariu
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.
Comments: 20 pages, 11 figures. The following article has been submitted to American Journal of Physics.