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We have designed, built and operated a physical pendulum which allows one to demonstrate experimentally the behaviour of the pendulum under any equation of motion for such a device for any initial conditions. All parameters in the equation…

Popular Physics · Physics 2015-05-13 H. Hauptfleisch , T. Gasenzer , K. Meier , O. Nachtmann , J. Schemmel

In the course of basic physics, more precisely the course of classical mechanics should be understood as clearly as possible the subject of rotational dynamics for students of science and engineering, to have clarity with the issues…

Physics Education · Physics 2018-12-12 Alex Estupiñán , Miguel Pico , Raul Ortiz

The oscillation periods bounded by a simple pendulum and an oscillating rigid rod are illustrated using a multiple pendulum. Oscillation periods between these two limits are obtained. A theoretical approach using the Lagrangian formalism…

Physics Education · Physics 2007-05-23 J C Zamora , F Fajardo , J-Alexis Rodriguez

To make physics experiments more directly relevant to everyday life and help students realize how their smart phones or tablets can be used as sensors for scientific measurements, we designed two introductory physics experiments to measure…

Physics Education · Physics 2022-12-06 Glen D. Gillen , Katharina Gillen

Traditionally, clinicians use tuning forks as a binary measure to assess vibrotactile sensory perception. This approach has low measurement resolution, and the vibrations are highly variable. Therefore, we propose using vibrations from a…

Human-Computer Interaction · Computer Science 2022-06-22 Rachel A. G. Adenekan , Alexis J. Lowber , Bryce N. Huerta , Allison M. Okamura , Kyle T. Yoshida , Cara M. Nunez

Smartphones equipped with sensors such as accelerometers, gyroscopes, and magnetometers offer valuable opportunities for physics education, allowing students to measure motion using their own devices. However, commonly used applications…

Physics Education · Physics 2026-03-06 Keita Nishioka , Yasuhiro Tanaka

The motion of a simple pendulum in a uniform gravitational field can be described by the solution of a second-order differential equation, nonlinear differential equation. In practice we solve this equation using the small angle…

Classical Physics · Physics 2026-05-26 Adel H. Alameh

This paper presents the validation of a computational tool that serves to obtain continuous measurements of moving objects. The software uses techniques of computer vision, pattern recognition and optical flow, to enable tracking of objects…

The spatial dependence of magnetic fields in simple configurations is an usual topic in introductory electromagnetism lessons, both in high school and in university courses. In typical experiments, magnetic fields are obtained taking…

Physics Education · Physics 2017-12-06 Martin Monteiro , Cecilia Stari , Cecilia Cabeza , Arturo C. Marti

A fascinating approach to teaching Newton's Third Law using readily available technology is presented in this article. Magnetic forces are measured by using a smartphone's pressure sensor, two ring magnets, and common household items.…

Physics Education · Physics 2026-05-05 Sanjoy Kumar Pal , Soumen Sarkar , Pradipta Panchadhyayee

We discuss the equation of motion of the driven pendulum and generalize it to arbitrary driving angle. The pendulum will oscillate about a stable angle other than straight down if the drive amplitude and frequency are large enough for a…

Physics Education · Physics 2015-06-26 Gordon J. VanDalen

In this paper we discuss the use of sensors incorporated in mobile devices as possible mobile laboratories at the service of teaching experimental sciences. Mobile devices, smartphones, tablets, laptops, microbit cards, are a resource for…

Physics Education · Physics 2019-01-17 Martin Monteiro , Cecilia Stari , Cecilia Cabeza , Arturo C. Marti

We present Pendulum Tracker, a computer vision-based application that enables real-time measurement of the oscillatory motion of a physical pendulum. Integrated into the educational platform SimuF\'isica, the system uses the OpenCV.js…

Physics Education · Physics 2025-11-12 Marco P. M. de Souza , Juciane G. Maia , Lilian N. de Andrade

We present an experimental setup to demonstrate normal modes and symmetry breaking in a two-dimensional pendulum. In our experiment we have used two modes of a single oscillator to demonstrate normal modes, as opposed to two single…

Physics Education · Physics 2018-06-19 Paramdeep Singh , R. C. Singh , Mandip Singh , Arvind

The humble pendulum is often invoked as the archetype of a simple, gravity driven, oscillator. Under ideal circumstances, the oscillation frequency of the pendulum is independent of its mass and swing amplitude. However, in most real-world…

Fluid Dynamics · Physics 2019-02-20 Varghese Mathai , Laura Loeffen , Timothy Chan , Sander Wildeman

The period of oscillation of a simple pendulum ($T = 2\pi\sqrt{l/g}$) is a familiar formula to the average first-year physics student. However, deriving this expression from first principles involves solving a non-linear differential…

Physics Education · Physics 2024-08-02 Rodrigo Sánchez-Martínez , Esteban Heredia-Muñoz

The Fourier-based analysis customarily employed to analyze the dynamics of a simple pendulum is here revisited to propose an elementary iterative scheme aimed at generating a sequence of analytical approximants of the exact law of motion.…

Classical Physics · Physics 2013-03-21 Riccardo Borghi

The paper proposes an alternative to the Foucault pendulum for detecting various movements of rotation of the Earth. Calculations suggest that if the duration of a "free" fall becomes longer the eastward deflection will be amplified in…

Classical Physics · Physics 2011-12-23 Bertrand M. Roehner

The model we consider consists in a double pendulum set, where the pivot points are free to shift along a horizontal line. Moreover, the two pendula are coupled by means of a spring whose extremities connect two points of each pendulum, at…

Classical Physics · Physics 2018-02-15 Federico Talamucci

The motion of a pendulum is described as Simple Harmonic Motion (SHM) in case the initial displacement given is small. If we relax this condition then we observe the deviation from the SHM. The equation of motion is non-linear and thus…

Physics Education · Physics 2007-05-23 P. Arun , Naveen Gaur