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Rolling of a small sphere on a solid support is governed by a non-linear friction that is akin to the Coulombic dry fiction. No motion occurs when the external field is weaker than the frictional resistance. However, with the intervention…

Statistical Mechanics · Physics 2012-03-22 P. S. Goohpattader , M. K. Chaudhury

This article illustrates the role of friction on the motion of a rolling sphere on pedagogical example. We use a parabolic support rotating around it axis to study the static equilibrium positions of a single sphere. Due to the particular…

Physics Education · Physics 2014-11-05 Alexis Soulier , Sébastien Aumaître

The rolling motion of a rigid cylinder on an inclined flat viscous surface is investigated and the nonlinear resistance force against rolling, $F_R(v)$, is derived. For small velocities $F_R(v)$ increases with velocity due to increasing…

Materials Science · Physics 2007-05-23 Thorsten Poeschel , Thomas Schwager , Nikolai Brilliantov , Alexei Zaikin

An elastic layer slides on a rigid flat governed by Coulomb's friction law. We demonstrate that if the coefficient of friction is high enough, the sliding localizes within stick-slip pulses, which transform into opening waves propagating at…

Geophysics · Physics 2016-02-26 Vladislav A. Yastrebov

By means of Molecular Dynamics simulations, we investigate the elementary process of avalanches and size segregation by surface flow in 2 dimensions: a single ball confined to moving along an inclined line consisting of balls. The global…

Condensed Matter · Physics 2009-10-28 S. Dippel , G. G. Batrouni , D. E. Wolf

A first-principle continuum-mechanics expression for the rolling friction coefficient is obtained for the rolling motion of a viscoelastic sphere on a hard plane. It relates the friction coefficient to the viscous and elastic constants of…

Materials Science · Physics 2009-10-31 Nikolai V. Brilliantov , Thorsten Poeschel

The interplay between Coulomb friction and random excitations is studied experimentally by means of a rotating probe in contact with a stationary granular gas. The granular material is independently fluidized by a vertical shaker, acting as…

Soft Condensed Matter · Physics 2013-04-26 A. Gnoli , A. Puglisi , H. Touchette

We investigate the motion of a hard cylinder rolling down a soft inclined plane. The cylinder is subjected to a viscous drag force and stochastic fluctuations due to the surrounding medium. In a wide range of parameters we observe…

Materials Science · Physics 2009-11-10 Thorsten Poeschel , Nikolai V. Brilliantov , Alexei Zaikin

We study stochastic motion under a nonlinear frictional force that levels off with increasing velocity. Specifically, our frictional force is of the so-called Coulomb-tanh type. At small speed, it increases approximately linearly with…

Statistical Mechanics · Physics 2023-12-13 Theo Lequy , Andreas M. Menzel

We analyse the motion of a sphere that rolls without slipping on a conical surface having its axis in the direction of the constant gravitational field of the Earth. This nonholonomic system admits a solution in terms of quadratures. We…

Classical Physics · Physics 2009-11-11 I Campos , J L Fernández-Chapou , A L Salas-Brito , C A Vargas

The resistance against rolling of a rigid cylinder on a flat viscous surface is investigated. We found that the rolling-friction coefficient reveals strongly non-linear dependence on the cylinder's velocity. For low velocity the…

Materials Science · Physics 2009-10-31 Thorsten Poeschel , Thomas Schwager , Nikolai V. Brilliantov

We report on the controlled transport of drops of magnetic liquid, which are swimming on top of a non-magnetic liquid layer. A magnetic field which is rotating in a vertical plane creates a torque on the drop. Due to surface stresses within…

Fluid Dynamics · Physics 2008-06-25 V. Sterr , R. Krauss , K. I. Morozov , I. Rehberg , A. Engel , R. Richter

The dynamical friction experienced by a body moving in a gaseous medium is different from the friction in the case of a collisionless stellar system. Here we consider the orbital evolution of a gravitational perturber inside a gaseous…

Astrophysics · Physics 2009-10-31 F. J. Sanchez-Salcedo , A. Brandenburg

We discuss the stick-slip motion of an elastic block sliding along a rigid substrate. We argue that for a given external shear stress this system shows a discontinuous nonequilibrium transition from a uniform stick state to uniform sliding…

Soft Condensed Matter · Physics 2009-11-10 Efim A. Brener , S. V. Malinin , V. I. Marchenko

We experimentally investigate the dynamics of a sphere rolling down a granular slope by varying the initial velocity, slope angle, and sphere density. The results show that the sphere rolls down with constant deceleration while sinking into…

Soft Condensed Matter · Physics 2026-03-12 Takeshi Fukumoto , Hiroyuki Ebata , Ishan Sharma , Hiroaki Katsuragi

We study a model of rolling particles subject to stochastic fluctuations, which may be relevant in systems of nano- or micro-scale particles where rolling is an approximation for strong static friction. We consider the simplest possible…

Mathematical Physics · Physics 2016-10-04 Miranda Holmes-Cerfon

We calculate the friction force acting on a hard cylinder or spherical ball rolling on a flat surface of a viscoelastic solid. The rolling friction coefficient depends non-linearly on the normal load and the rolling velocity. For a cylinder…

Soft Condensed Matter · Physics 2010-08-27 B. N. J. Persson

Over the past few decades, oscillating flexible foils have been used to study the physics of organismal propulsion in different fluid environments. Here we extend this work to a study of flexible foils in a frictional environment. When the…

Biological Physics · Physics 2018-02-07 Xiaolin Wang , Silas Alben

We study the rolling and sliding motion of droplets on a corrugated substrate by Molecular Dynamics simulations. Droplets are driven by an external body force (gravity) and we investigate the velocity profile and dissipation mechanisms in…

Soft Condensed Matter · Physics 2009-11-13 J. Servantie , M. Müller

The motion of submerged magnetic microspheres rolling at a glass-water interface has been studied using magnetic rotation and optical tweezers combined with bright-field microscopy particle tracking techniques. Individual microspheres of…

Optics · Physics 2008-09-15 Rodney R. Agayan , Ron G. Smith , Raoul Kopelman
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