Closed Form Solution for a Damped Rotational Pendulum System
Research Updates in Mathematics and Computer Science Vol. 4,
11 April 2024
,
Page 1-9
https://doi.org/10.9734/bpi/rumcs/v4/2953G
Abstract
In this article, we report for the first time the analytical solution for a rotational pendulum system. Analytical expression for the period of oscillations is provided. We also derive approximate analytical solution for the damped case.
Keywords:
- Rotational pendulum system
- Jacobian elliptic functions
- Weierstrass elliptic function
How to Cite
Alvaro H. Salas S. (2024). Closed Form Solution for a Damped Rotational Pendulum System. Research Updates in Mathematics and Computer Science Vol. 4, 1–9. https://doi.org/10.9734/bpi/rumcs/v4/2953G