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In this work, we study a mathematical planar pendulum whose support point is positioned equidistant between two vertical and uniformly electrically charged wires. Its bob carries an electric charge and, its support point oscillates…

Dynamical Systems · Mathematics 2021-12-06 A. C. Carvalho , H. E. Cabral , G. C. Araujo

The possibility of testing spatial noncommutativity by current experiments on normal quantum scales is investigated. For the case of both position-position and momentum-momentum noncommuting spectra of ions in crossed electric and magnetic…

Quantum Physics · Physics 2010-04-23 Jian-Zu Zhang , Ke-Lin Gao , Chuan-Gang Ning

Pendulums are simple mechanical systems that have been studied for centuries and exhibit many aspects of modern dynamical systems theory. In particular, the double pendulum is a prototypical chaotic system that is frequently used to…

Dynamical Systems · Mathematics 2026-03-03 Kadierdan Kaheman , Jason J. Bramburger , J. Nathan Kutz , Steven L. Brunton

The motion of pedestrians is subject to a wide range of influences and exhibits a rich phenomenology. To enable precise measurement of the density and velocity we use an alternative definition using Voronoi diagrams which exhibits smaller…

A quasi two-dimensional colloidal suspension is studied under the influence of immobilisation (pinning) of a random fraction of its particles. We introduce a novel experimental method to perform random pinning and, with the support of…

The motion of a particle with a spin in spherical harmonic oscillator potential with spin-orbit interaction is studied. We have focus our attention on spatial motion of wave packets, giving a description complementary to motion of spin…

Quantum Physics · Physics 2009-10-28 P. Rozmej , R. Arvieu

This paper presents a general formulation of equations of motion of a pendulum with n point mass by use of two different methods. The first one is obtained by using Lagrange Mechanics and mathematical induction(inspection), and the second…

Classical Physics · Physics 2020-02-11 Boran Yesilyurt

The prepared doctoral dissertation focuses on studying dynamics of systems composed of magnetic pendulums subjected to a non-stationary magnetic field. A magnetic pendulum is a physical pendulum with a magnet attached to its end and is…

Pattern Formation and Solitons · Physics 2024-01-22 Krystian Polczyński

The Roberts linkage is recognized for enabling long-period pendulum motion in a compact format. Utilizing this characteristic, we are developing a three-point Roberts linkage for vibration isolation systems, with an eye towards its…

Instrumentation and Detectors · Physics 2024-10-28 Munetake Otsuka , Kohei Mitsuhashi , Ryutaro Takahashi , Yohei Nishino , Yoichi Aso , Takayuki Tomaru

The von Neumann interaction between a particle and an apparatus has been considered in the measurement of the position of a particle when the interaction lasts for a finite amount of time. When the measurement has finite duration, both the…

Quantum Physics · Physics 2009-11-11 Francesc S. Roig

Dynamical stability is a prerequisite for control and functioning of desired nano-machines. We utilize the Caldeira-Leggett master equation to investigate dynamical stability of molecular cogwheels modeled as a rigid, propeller-shaped…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 Igor Petrović , Jasmina Jeknić-Dugić , Momir Arsenijević , Miroljub Dugić

A generalization of the classical Kapitza pendulum is considered: an inverted planar mathematical pendulum with a vertically vibrating pivot point in a time-periodic horizontal force field. We study the existence of forced oscillations in…

Dynamical Systems · Mathematics 2020-08-26 Ivan Polekhin

In this paper we present a study of the non-linear effects of anharmonicity of the potential of the simple pendulum. In a theoretical reminder we highlight that anharmonicity of the potential generates additional harmonics and the…

Physics Education · Physics 2019-11-27 Thomas Gibaud , Alain Gibaud

We propose three criteria for identifying continuous variable entanglement between two many-particle systems with no restrictions on the quantum state of the local oscillators used in the measurements. Mistakenly asserting a coherent state…

Quantum Physics · Physics 2009-11-13 A. J. Ferris , M. K. Olsen , E. G. Cavalcanti , M. J. Davis

In this paper problems that arose with the introduction of distance learning in physics at the Technical University of Sofia due to the COVID-19 pandemic and the imposition of video recording of laboratory exercises are indicated. It was…

Physics Education · Physics 2023-04-25 Ivan Z. Stefanov , Nikolay Denev , Sava Donkov

The planar inverted pendulum with a vibrating pivot point in the presence of an additional horizontal force field is studied. The horizontal force is not assumed to be small or rapidly oscillating. We assume that the pivot point of the…

Dynamical Systems · Mathematics 2022-09-07 Ivan Polekhin

Recently researchers at the University of Illinois coupled a real pendulum to its virtual counterpart. They observed that the two pendulums suddenly start to move in synchrony if their lengths are sufficiently close. In this synchronized…

Classical Physics · Physics 2011-04-25 Alfred Hubler , Vadas Gintautas

The result of a physical measurement depends on the timescale of the experimental probe. In solid-state systems, this simple quantum mechanical principle has far-reaching consequences: the interplay of several degrees of freedom close to…

Strongly Correlated Electrons · Physics 2016-02-25 Philipp Hansmann , Thomas Ayral , Antonio Tejeda , Silke Biermann

The dynamics of a traditional toy, the yoyo, is investigated theoretically and experimentally using smartphone' sensors. In particular, using the gyroscope the angular velocity is measured. The experimental results are complemented thanks…

Physics Education · Physics 2020-12-02 Isabel Salinas , Martin Monteiro , Arturo C. Marti , Juan A. Monsoriu

This work focuses on a theoretical analysis of a well-known inertia demonstration, which uses a weight suspended by a string with an extra string that hangs below the weight. The point in question is which string, the upper or lower, will…

Physics Education · Physics 2015-06-22 Hiroyuki Shima
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