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The classic simple pendulum is a device which works as a simple harmonic oscillator (S.H.M.) only approximately. The time period remains fixed as long as the amplitude is kept sufficiently small. This limitation makes it unsatisfactory…

Classical Physics · Physics 2011-07-29 Sumit Kumar

We propose to effectively realize a time-dependent gravitational acceleration by using a running elevator, so that a simple pendulum inside it effectively becomes one with a time-dependent gravitational acceleration. We did such an…

Classical Physics · Physics 2024-08-20 Mingyuan Shi , Yu Shi

We analyze the dynamics of a driven, damped pendulum as used in mechanical clocks. We derive equations for the amplitude and phase of the oscillation, on time scales longer than the pendulum period. The equations are first order ODEs and…

Classical Physics · Physics 2015-01-16 Peter Hoyng

We describe a 8085 microprocessor interface developed to make reliable time period measurements. The time period of each oscillation of a simple pendulum was measured using this interface. The variation of the time period with increasing…

Physics Education · Physics 2009-11-10 Neha Aggarwal , Nitin Verma , P. Arun

We investigate a torsional pendulum containing a ferrofluid that is forced periodically to undergo small-amplitude oscillations. A homogeneous magnetic field is applied perpendicular to the pendulum axis. We give an analytical formula for…

Fluid Dynamics · Physics 2007-05-23 A. Leschhorn , M. Lücke

Experiments on the oscillatory motion of a suspended bar magnet throws light on the damping effects acting on the pendulum. The viscous drag offered by air was found the be the main contributor for slowing the pendulum down. The nature and…

Physics Education · Physics 2007-05-23 Akhil Arora , Rahul Rawat , Sampreet Kaur , P. Arun

The Wilberforce pendulum is a great experience for illustrating important properties of coupled oscillatory systems, such as normal modes and beat phenomena, in physics courses. A helical spring attached to a mass comprises this simple but…

Physics Education · Physics 2022-12-15 Thomas Gallot , Daniel Gau , Rodrigo García-Tejera

We study the motion of the charged particles between a pair of conductor plates in the non-inertial reference frame. It is found that there exists a stable voltage between the two conductor plates, which is proportional to the rotation…

Classical Physics · Physics 2018-01-24 Yun-He Zhao , Yu-Han Ma

Since Galileo's time, the pendulum has evolved into one of the most exciting physical objects in mathematical modeling due to its vast range of applications for studying various oscillatory dynamics, including bifurcations and chaos, under…

Chaotic Dynamics · Physics 2023-06-28 Tapas Kumar Pal , Arnob Ray , Sayantan Nag Chowdhury , Dibakar Ghosh

The motion of a driven planar pendulum with vertically periodically oscillating point of suspension and under the action of an additional constant torque is investigated. We study the influence of the torque strength on the transition to…

Chaotic Dynamics · Physics 2007-05-23 Marek Borowiec , Grzegorz Litak , Hans Troger

We describe a mechanism for transport of energy in a mechanical system consisting of a pendulum and a rotator subject to a random perturbation. The perturbation that we consider is the product of a Hamiltonian vector field and a scalar,…

Dynamical Systems · Mathematics 2024-09-06 Anna Maria Cherubini , Marian Gidea

A compound pendulum of simple geometry was built from a lightweight rod to which a pair of masses are clamped, one above and the other below the axis of rotation. By making the position of the upper mass variable, it was found that the…

Physics Education · Physics 2007-05-23 Randall D. Peters

A novel plasma state has been found in the presence of a uniform applied axial magnetic field in periodic cylindrical geometry. This state is driven electrostatically by helical electrodes, providing a driving field that depends on radius…

Plasma Physics · Physics 2017-08-15 Cihan Akçay , John M. Finn , Richard A. Nebel , Daniel C. Barnes

The pendulum, in the presence of linear dissipation and a constant torque, is a non-integrable, nonlinear differential equation. In this paper, using the idea of rotated vector fields, derives the relation between the applied force $\beta$…

Dynamical Systems · Mathematics 2012-05-15 Lian-Gang Li

A liquid meniscus, a bending rod (also called elastica) and a simple pendulum are all described by the same non-dimensional equation. The oscillatory regime of the pendulum corresponds to buckling rods and pendant drops, and the…

Soft Condensed Matter · Physics 2020-06-05 Benoît Roman , Cyprien Gay , Christophe Clanet

The self-organized electric cell voltage of the physical circuit is calculated at etching and deposition of metals at the surface of a magnetized ferromagnetic electrode in an electrolyte without passing an external electrical current. This…

Materials Science · Physics 2015-01-13 O. Yu. Gorobets , Yu. I. Gorobets , V. P. Rospotniuk , Yu. A. Legenkiy

Transistors are key elements for enabling computational hardware in both classical and quantum domains. Here, we propose a voltage-gated spin transistor using itinerant electrons in the Hubbard model which acts at the level of single…

Quantum Physics · Physics 2021-12-03 Rozhin Yousefjani , Sougato Bose , Abolfazl Bayat

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 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

Series of experiments were carried out to check the prediction concerning the possibility to generate gravitational field when charged massive particles decelerated in the in substance. As a source of the charged particles was used the…

General Physics · Physics 2007-05-23 D. Yu. Tsipenyuk