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Planar sliding of objects is modeled and analyzed. The model can be used for non-prehensile manipulation of objects lying on a surface. We study possible motions generated by frictional contacts, such as those arising between a soft finger…

Robotics · Computer Science 2019-04-16 M. Mahdi Ghazaei Ardakani , Joao Bimbo , Domenico Prattichizzo

Equations of motion of an axially symmetric sphere rolling and sliding on a plane are usually taken as model of the tippe top. We study these equations in the nonsliding regime both in the vector notation and in the Euler angle variables…

Exactly Solvable and Integrable Systems · Physics 2008-04-24 S. Torkel Glad , Daniel Petersson , Stefan Rauch-Wojciechowski

In an effort to study the stability of contact lines in fluids, we consider the dynamics of a drop of incompressible viscous Stokes fluid evolving above a one-dimensional flat surface under the influence of gravity. This is a free boundary…

Analysis of PDEs · Mathematics 2019-07-15 Ian Tice , Lei Wu

The sliding of a solid object on a solid substrate requires a shear force that is larger than the maximum static friction force. It is commonly believed that the maximum static friction force is proportional to the loading force and does…

Materials Science · Physics 2014-09-12 Yu Katano , Ken Nakano , Michio Otsuki , Hiroshi Matsukawa

The advances in cold atom experiments have allowed construction of confining traps in the form of curved surfaces. This opens up the possibility of studying quantum gases in curved manifolds. On closed surfaces, many fundamental processes…

Quantum Gases · Physics 2018-05-25 Jian Zhang , Tin-Lun Ho

We study experimentally the collision between a sphere falling through a viscous fluid, and a solid plate below. It is known that there is a well-defined threshold Stokes number above which the sphere rebounds from such a collision. Our…

Fluid Dynamics · Physics 2018-04-18 Sumit Kumar Birwa , G. Rajalakshmi , Rama Govindarajan , Narayanan Menon

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

In most analytical studies of light ray propagation in curved spacetimes around a gravitating object surrounded by a medium, it is assumed that the medium is a cold nonmagnetized plasma. The distinctive feature of this environment is that…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Barbora Bezděková , Oleg Yu. Tsupko , Christian Pfeifer

We simulate the quasi-static motion of a spherical particle through a stable, horizontal soap film. The soap film subtends a fixed contact angle, in the range $10-135^\circ$, where it meets the particle. The tension and pressure forces…

Soft Condensed Matter · Physics 2026-03-11 S. J. Cox , I. T. Davies

Contact angle hysteresis of droplets will be examined in light of static friction between liquid drop and solid surface. Unlike frictions in solid-solid interfaces, pinning forces at contact points or contact lines would be the cause of…

Fluid Dynamics · Physics 2024-12-03 Jong-In Yang , Jooyoo Hong

The profiles of a spreading wetting film are computed taking into account intermolecular forces and introducing a kinetic slip condition at a molecular cut-off distance. This eliminates the stress singularity, so that both "true" and…

Fluid Dynamics · Physics 2007-05-23 Len M. Pismen , Boris Y. Rubinstein

We study theoretically and numerically the elastic properties of hard sphere glasses, and provide a real-space description of their mechanical stability. In contrast to repulsive particles at zero-temperature, we argue that the presence of…

Soft Condensed Matter · Physics 2015-06-18 E. DeGiuli , E. Lerner , C. Brito , M. Wyart

By means of lattice-Boltzmann simulations the drag force on a sphere of radius R approaching a superhydrophobic striped wall has been investigated as a function of arbitrary separation h. Superhydrophobic (perfect-slip vs. no-slip) stripes…

We use a free energy lattice Boltzmann approach to investigate numerically the dynamics of drops moving across superhydrophobic surfaces. The surfaces comprise a regular array of posts small compared to the drop size. For drops suspended on…

Soft Condensed Matter · Physics 2009-11-11 A. Dupuis , J. M. Yeomans

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

Recent interest in the old problem of the motion of a coin spinning on a tabletop has focused on mechanisms of dissipation of energy as the angle alpha of the coin to the table decreases, while the angular velocity Omega of the point of…

Classical Physics · Physics 2007-05-23 Alexander J. McDonald , Kirk T. McDonald

For a pendant drop whose contact line is a circle of radius $r_0$, we derive the relation $mg\sin\alpha={\pi\over2}\gamma r_0\,(\cos\theta^{\rm min}-\cos\theta^{\rm max})$ at first order in the Bond number, where $\theta^{\rm min}$ and…

Fluid Dynamics · Physics 2020-12-02 J. De Coninck , J. C. Fernandez-Toledano , F. Dunlop , T. Huillet , A. Sodji

We performed molecular dynamics (MD) experiments to explore dry sliding friction at the nanoscale. We used the setup comprised of a spherical particle built up of 32,000 aluminium atoms, resting on a semi-space with a free surface, modelled…

Data Analysis, Statistics and Probability · Physics 2023-11-08 Rasoul Kheiri , Alexey A Tsukanov , Nikolai V Brilliantov

We show that energy dissipation partition between a liquid and a solid controls the shape and stability of droplets sliding on viscoelastic gels. When both phases dissipate energy equally, droplet dynamics is similar to that on rigid…

Soft Condensed Matter · Physics 2024-02-20 Mathieu Oléron , Laurent Limat , Julien Dervaux , Matthieu Roché

Surface tension in drops has been investigated mainly from a thermodynamic standpoint, more rarely with kinetic methods. In the present work, this problem is studied in the framework of kinetic theory, starting from Sutherland's…

Statistical Mechanics · Physics 2007-05-23 V. Molinari , D. Mostacci , M. Premuda