Determination of the Period of Large Vibrations of a Pendulum in Elementary Functions


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Abstract

We have determined for the first time in elementary functions an analytically exact period for the vibrations of a physical pendulum for large angles (up to 90°) of deviations from the vertical axis.

About the authors

A. V. Kochetkov

Perm National Research Polytechnic University; Saratov State Technical University

Author for correspondence.
Email: soni81@mail.ru
Russian Federation, Perm; Saratov

I. B. Chelpanov

St. Petersburg National Research University of Information Technologies, Mechanics, and Optics (ITMO); TsNII Elektropribor Concern

Email: soni81@mail.ru
Russian Federation, St. Petersburg; St. Petersburg

P. V. Fedotov

Research Center of Technical Regulation

Email: soni81@mail.ru
Russian Federation, Perm

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