Closed Form Solution for a Damped Rotational Pendulum System

Authors

  • Alvaro H. Salas S. Fizmako Research Group, Universidad Nacional de Colombia, Colombia.

DOI:

https://doi.org/10.9734/bpi/rumcs/v4/2953G

Keywords:

Rotational pendulum system, Jacobian elliptic functions, Weierstrass elliptic function

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.

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Published

2024-04-11

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

Issue

Research Updates in Mathematics and Computer Science Vol. 4

Section

Chapters