Pendulum waves: A model of Thomae's function-Reference-Cited by-同舟云学术

Pendulum waves: A model of Thomae's function

Published:2023-12-01 Issue:12 Volume:91 Page:964-969
ISSN:0002-9505
Container-title:American Journal of Physics
language:en
Short-container-title:

Author:

Feng Xiangdong¹,Lu Changhong²,Schulte Jurgen³,Shan Zengxu²,Liu Gentong¹

Affiliation:

1. School of Aerospace Engineering, Beijing Institute of Technology , Beijing 100081, China

2. School of Physics, Beijing Institute of Technology , Beijing 100081, China

3. Connected Intelligence Centre, University of Technology Sydney NSW 2007 , Australia

Abstract

The pendulum wave apparatus exhibits cyclic pendulum patterns, including wave-like motion and pendulums alignments. This work presents a complete analytical solution to the times and numbers of pendulum alignment, which is shown to be a subset of Thomae's function. Based on the properties of this function and basic number theory, a comprehensive analysis of pendulum patterns is presented.

Publisher

American Association of Physics Teachers (AAPT)

Subject

General Physics and Astronomy

Link

https://pubs.aip.org/aapt/ajp/article-pdf/91/12/964/18216284/964_1_5.0131936.pdf

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