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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

Described is an experiment where the embedded accelerometer of a smart-phone was used to study the free decay of a `simple' pendulum to which the phone was attached.

General Physics · Physics 2010-12-09 Randall D. Peters

Two-wheeled inverted pendulum robots are designed for self-balancing and they have remarkable advantages. In this paper, a new configuration and consequently dynamic model of one specific robot is presented and its dynamic behavior is…

Dynamical Systems · Mathematics 2021-02-18 Amin Mehrvarz , Mohammad Javad Khodaei , William Clark , Nader Jalili

This paper presents an alternative way to the dynamic modeling of a rotational inverted pendulum using the classic mechanics known as Euler-Lagrange allows to find motion equations that describe our model. It also has a design of the basic…

Chaotic Dynamics · Physics 2017-04-11 J. L. Duarte , B. Montero , P. A. Ospina-Henao , E. Gonzalez

This paper is presenting a set of laboratory classes to be taught as a part of a 1-year calculus-based physics class. It is composed out of 7 modules designed to bring together experiments and computer simulations (numerical simulations).…

Physics Education · Physics 2018-07-16 Sergey V. Samsonau

For at least fifty years, the inverted pendulum has been the most popular benchmark, among others, for teaching and researches in control theory and robotics. This paper presents the key motivations for the use of that system and explains,…

Robotics · Computer Science 2014-05-14 Olfa Boubaker

Computing is a high-level process of a physical system. Recent interest in non-standard computing systems, including quantum and biological computers, has brought this physical basis of computing to the forefront. There has been, however,…

Emerging Technologies · Computer Science 2023-04-21 Dominic Horsman , Susan Stepney , Rob C. Wagner , Viv Kendon

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

In this paper we show that there are applications that transform the movement of a pendulum into movements in $\mathbb{R}^3$. This can be done using Euler top system of differential equations. On the constant level surfaces, Euler top…

Dynamical Systems · Mathematics 2009-05-28 O. Chis , D. Opris

Locomotion of legged machines faces the problems of model complexity and computational costs. Algorithms based on complex models and/or reinforcement learning exist to solve the walking control task. In this project, we aim to develop a…

Robotics · Computer Science 2018-05-17 Kendeas Theofanous

In this paper, we present a novel rolling, jumping robot. The robot consists of a driven pendulum mounted to a wheel in a compact, lightweight, 3D printed design. We show that by driving the pendulum to shift the robot's weight…

Robotics · Computer Science 2023-10-30 Jake Buzhardt , Prashanth Chivkula , Phanindra Tallapragada

Here we show that the concepts behind such terms as entanglement, qubits, quantum gates, quantum error corrections, unitary time evolution etc., which are usually ascribed to quantum systems, can be adequately realized on a set of coupled…

Quantum Physics · Physics 2023-12-04 Alexey V. Nenashev , Florian Gebhard , Klaus Meerholz , Sergei D. Baranovskii

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

Differentiable physics provides a new approach for modeling and understanding the physical systems by pairing the new technology of differentiable programming with classical numerical methods for physical simulation. We survey the rapidly…

Machine Learning · Computer Science 2021-09-17 Bharath Ramsundar , Dilip Krishnamurthy , Venkatasubramanian Viswanathan

A long-standing goal in the field of "mechanical computing" is the creation of truly reprogrammable mechanical structures, where the function of each unit can be dynamically defined, modified, and accessed on demand, much like rewriting…

Classical Physics · Physics 2025-10-01 Sophie Monnery , Giada Risso , Loucas Plado Costante , Arnaud Lazarus , Katia Bertoldi

A detailed analysis of three pendular motion models is presented. Inertial effects, self-oscillation, and memory, together with non-constant moment of inertia, hysteresis and negative damping are shown to be required for the comprehensive…

Classical Physics · Physics 2020-12-14 L. N. Gonçalves , J. C. Fernandes , A. Ferraz , A. G. Silva , P. J. Sebastião

A spherical robot has many practical advantages as the entire electronics are protected within a hull and can be carried easily by any Unmanned Aerial Vehicle (UAV). However, its use is limited due to finding mounts for sensors. Pendulum…

Robotics · Computer Science 2023-01-18 Animesh Singhal , Sahil Modi , Abhishek Gupta , Leena Vachhani , Omkar A. Ghag

We present the results of linear stability of a damped coplanar double pendulum and its non-linear motion, when the point of suspension is vibrated sinusoidally in the vertical direction with amplitude $a$ and frequency $\omega $. A double…

Classical Physics · Physics 2023-08-11 Rebeka Sarkar , Krishna Kumar , Sugata Pratik Khastgir

A pendulum powered by high voltage electricity is described. The pendulum consists of two conducting plates(thin foil) separated by copper rods and are insulated from each other. High voltage is applied to these plates through the…

Popular Physics · Physics 2012-01-17 Raju Baddi

We study the motion of the coupled system, $\mathscr S$, constituted by a physical pendulum, $\mathscr B$, with an interior cavity entirely filled with a viscous, compressible fluid, $\mathscr F$. The presence of the fluid may strongly…

Analysis of PDEs · Mathematics 2022-11-01 Giovanni Paolo Galdi , Václav Mácha , Šárka Nečasová , Bangwei She