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Control of a hybrid dynamical system can manifest in one of two main ways: either through the continuous or the discrete dynamics. An example of controls influencing the continuous dynamics is legged locomotion, where the joints are…

Optimization and Control · Mathematics 2022-03-29 William Clark , Dora Kassabova

If a tennis ball is held above a basket ball with their centers vertically aligned, and the balls are released to collide with the floor, the tennis ball may rebound at a surprisingly high speed. We show in this article that the simple…

Classical Physics · Physics 2015-05-20 Patric Mueller , Thorsten Poeschel

The goal of this paper is to investigate the normal and tangential forces acting at the point of contact between a horizontal surface and a rolling ball actuated by internal point masses moving in the ball's frame of reference. The normal…

Classical Physics · Physics 2019-04-15 Vakhtang Putkaradze , Stuart Rogers

We consider two perfectly smooth featureless surfaces at T=0, defined only by their respective dielectric functions, separated by a finite distance, and ask the question whether they can experience any friction when sheared parallel to…

Condensed Matter · Physics 2009-10-30 JB Pendry

For more than 35 years theorists have studied quantum or Casimir friction, which occurs when two smooth bodies move transversely to each other, experiencing a frictional dissipative force due to quantum electromagnetic fluctuations, which…

Quantum Physics · Physics 2016-05-17 K. A. Milton , J. S. Høye , I. Brevik

Experiments on the motion of a particle on an inclined rough plane have yielded some surprising results. For example, it was found that the frictional force acting on the ball is viscous, {\it i.e.} proportional to the velocity rather than…

Condensed Matter · Physics 2009-10-28 G. G. Batrouni , S. Dippel , L. Samson

The impact of a jet of droplets upon surfaces of varying hydrophobicity is studied via high-speed imaging. Microstructures on silicone surfaces consisting of cylindrical pillars of varying sizes and spacings are utilized to enhance…

The present paper is devoted to a theoretical analysis of sliding friction under the influence of oscillations perpendicular to the sliding plane. In contrast to previous works we analyze the influence of the stiffness of the tribological…

Chaotic Dynamics · Physics 2017-03-23 Mikhail Popov , Valentin L. Popov , Nikita V. Popov

This paper explores the friction forces encountered by droplets on non-wetting surfaces, specifically focusing on superhydrophobic and superheated substrates. Employing a combination of experimental techniques, including inclined plane…

A weakly deformable droplet impinging on a rigid surface rebounds if the surface is intrinsically hydrophobic or if the gas film trapped underneath the droplet is able to keep the interfaces from touching. A simple, physically motivated…

Fluid Dynamics · Physics 2007-05-23 A. Gopinath

Spreading of different types of fluid on substrates under an impressed force is an interesting problem. Here we study spreading of four fluids, having different hydrophilicity and viscosity on two substrates - glass and perspex, under an…

Soft Condensed Matter · Physics 2010-05-31 Soma Nag , Tapati Dutta , Sujata Tarafdar

We call a system bouncing ball billiard if it consists of a particle that is subjected to a constant vertical force and bounces inelastically on a one-dimendional vibrating periodically corrugated floor. Here we choose circular scatterers…

Chaotic Dynamics · Physics 2007-05-23 L. Matyas , R. Klages

We develop a theory of static friction by modeling the homogeneous surfaces of contact as being composed of a regular array of compressible elastic smooth microscopic inclines. Static friction is thought of as the resistance due to having…

Classical Physics · Physics 2014-07-14 Freeman Chee Siong Thun , Vee-Liem Saw , Kin Sung Chan

Within the framework of nonrelativistic electrodynamics, general formulas have been obtained for the tangential dissipative force of electrostatic friction and the normal force of attraction to the surface of an axially symmetric probe…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 G. V. Dedkov , A. A. Kanametov

When do droplets merge and when do they bounce? Over the last 10 years, advances in experimental techniques, such as high-speed cameras, have enabled us to make important discoveries on how the dynamics of thin gas films can influence the…

Fluid Dynamics · Physics 2023-12-14 Alexis Tzelilis

Friction laws, which are a key to the understanding of the diversity of earthquakes, are considered theoretically. Using dimensional analysis, the logarithmic dependence of the friction coefficient on the slip velocity and the state…

Geophysics · Physics 2015-08-21 Takahiro Hatano

A microscopic theory for the ubiquitous phenomenon of static friction is presented. Interactions between two surfaces are modeled by an energy penalty that increases exponentially with the degree of surface overlap. The resulting static…

Materials Science · Physics 2009-10-31 M. H. Müser , L. Wenning , M. O. Robbins

In table tennis, the rotation (spin) of the ball plays a crucial role. A table tennis match will feature a variety of strokes. Each generates different amounts and types of spin. To develop a robot that can compete with a human player, the…

Computer Vision and Pattern Recognition · Computer Science 2020-11-09 Jonas Tebbe , Lukas Klamt , Yapeng Gao , Andreas Zell

In the first part of the article using a direct calculation two-dimensional motion of a particle sliding on an inclined plane is investigated for general values of friction coefficient ($\mu$). A parametric equation for the trajectory of…

Classical Physics · Physics 2011-06-14 Cina Aghamohammadi , Amir Aghamohammadi

We study fluctuation electromagnetic interaction between small neutral rotating particle and polarizable surface. The attraction force, friction torque and heating are produced by the particle polarization and fluctuating near-field of the…

Other Condensed Matter · Physics 2012-10-29 G. V. Dedkov , A. A. Kyasov
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