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The Looping pendulum phenomenon was first introduced in 2019 at the 32nd edition of the IYPT, wherein a lighter bob sweeps around a cylindrical rod to support the weight of a heavier bob. In this paper, the phenomenon was divided based on…

Classical Physics · Physics 2025-06-30 Avighna Daruka , Gyaneshwaran Gomathinayagam , Aneesh Agarwal

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 evaluation of variation in oscillation time period of a simple pendulum as its mass varies proves a rich source of discussion in a physics class-room, overcoming erroneous notions carried forward by students as to what constitutes a…

Popular Physics · Physics 2010-02-23 P. Arun

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

It has recently been realised that strings with time-dependent tensions exhibit interesting dynamics; in particular, when the tension decreases loops of string can grow and possibly percolate. We extend previous analytic studies of strings…

High Energy Physics - Theory · Physics 2026-01-09 Hubert Lau Sze Chun , Joseph Conlon

How does the amplitude of a wiggle on a string change when the string is stretched? We answer this question for both longitudinal and transverse wiggles and for arbitrary equation of state, {\it i.e.}, for arbitrary relation between the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Jaewan Kim , Pierre Sikivie

The inertia tensor is an important parameter in many engineering fields, but measuring it can be cumbersome and involve multiple experiments or accurate and expensive equipment. We propose a method to measure the moment of inertia tensor of…

Robotics · Computer Science 2025-05-20 Till M. Blaha , Mike M. Kuijper , Radu Pop , Ewoud J. J. Smeur

Dynamic behavior of a weightless rod with a point mass sliding along the rod axis according to periodic law is studied. This is the pendulum with periodically varying length which is also treated as a simple model of child's swing.…

Mathematical Physics · Physics 2015-05-14 Anton O. Belyakov , Alexander P. Seyranian

We propose a method for measuring the string tension in gauge theories, by considering an interference effect of mesons, which is governed by a space-time area law, due to confinement. Although it is only a gedanken experiment for real…

Quantum Physics · Physics 2012-06-12 Erez Zohar , Benni Reznik

The standard series expansion for the period of a finite amplitude pendulum as a function of energy (and hence amplitude) provides a lower limit on the period when the series is truncated. An adjustment to the last term in the truncated…

Classical Physics · Physics 2007-07-09 Ian R. Gatland

We describe a torsion pendulum with a large mass-quadrupole moment and a resonant frequency of 2.8 mHz, whose angle is measured using a modified Michelson interferometer. The system achieved noise levels of $\sim200\…

Instrumentation and Detectors · Physics 2021-06-02 M. P. Ross , K. Venkateswara , C. A. Hagedorn , C. J. Leupold , P. W. F. Forsyth , J. D. Wegner , E. A. Shaw , J. G. Lee , J. H. Gundlach

Lessons and homework problems involving a pendulum are often a big part of introductory physics classes and laboratory courses from high school to undergraduate levels. Although laboratory equipment for pendulum experiments is commercially…

Physics Education · Physics 2009-08-27 Vadas Gintautas , Alfred Hubler

A physical pendulum with variable point of suspension (and, as an outcome, variable inertia moment) is experimentally analysed. In particular, the period of the small oscillations as a function of position of the suspension point is…

Physics Education · Physics 2019-10-02 Martin Monteiro , Cecilia Stari , Cecilia Cabeza , Arturo C. Marti

A high fidelity model is developed for an elastic string pendulum, one end of which is attached to a rigid body while the other end is attached to an inertially fixed reel mechanism which allows the unstretched length of the string to be…

Dynamical Systems · Mathematics 2009-09-14 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

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

Equations of motion are developed for the oscillatory rotation of a disk suspended between twisted strings kept under tension by a hanging mass, to which additional forces may be applied. In the absence of forcing, damped harmonic…

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

This paper shows the study of interesting mechanical properties of Wilberforce pendulum. Analyzing qualitatively of the pendulum, it is able to know how the phenomenon occurs. By setting of the quantitative model, equation of the motion is…

Classical Physics · Physics 2021-08-09 S. Lee

Using the damped pendulum system we introduce the averaging method to study the periodic solutions of a dynamical system with small perturbation. We provide sufficient conditions for the existence of periodic solutions with small amplitude…

Dynamical Systems · Mathematics 2014-05-20 Douglas Duarte Novaes

The FFT power spectrum of time deflection data from a pendulum bob shows a broad structure in the micro-Hz regime is consistent with non-resonant response due to forced acceleration. Harmonic analyses of pass Butterworth filtered data and…

Classical Physics · Physics 2010-12-01 Timir Datta , Ming Yin , Mike Wescott , Yeuncheol Jeong , Huaizhou Zhang , George Voulgaris