Looping Pendulum: Theory, Simulation, and Experiment

TL;DR

This paper presents a comprehensive study of the looping pendulum, deriving its equations of motion, solving them numerically, and validating the results through experiments, thus providing a detailed understanding of its dynamic behavior.

Contribution

The paper introduces a complete theoretical and experimental analysis of the looping pendulum, including derivation of equations and validation of numerical solutions with real-world data.

Findings

Numerical solutions accurately model the pendulum's dynamics.

Experimental results agree well with theoretical predictions.

The system exhibits complex motion patterns captured by the model.

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.