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In the sport of cricket, variations in a player's batting ability can usually be measured on one of two scales. Short-term changes in ability that are observed during a single innings, and long-term changes that are witnessed between…

Applications · Statistics 2019-03-19 Oliver G. Stevenson , Brendon J. Brewer

When two identical balls collide with equal inital speed on a horizontal groove, one can observe three trajectory types depending on the groove width. To explain this observation, we derive velocity diagrams of the balls motions from…

Classical Physics · Physics 2020-04-22 Sebastian Gröber , Josef Sniatecki

We consider a mechanical system consisting of an infinite rod (a straight line) and a ball (a massless point) on the plane. The rod rotates uniformly around one of its points. The ball is reflected elastically when colliding with the rod…

Dynamical Systems · Mathematics 2023-11-07 Sergey Kryzhevich , Alexander Plakhov

Nonlinear dynamics of a bouncing ball moving in gravitational field and colliding with a moving limiter is considered. Several simple models of table motion are studied and compared. Dependence of displacement of the table on time,…

Chaotic Dynamics · Physics 2010-06-08 Andrzej Okninski , Boguslaw Radziszewski

We have developed a sophisticated statistical model for predicting the hitting performance of Major League baseball players. The Bayesian paradigm provides a principled method for balancing past performance with crucial covariates, such as…

Applications · Statistics 2021-07-21 Shane T. Jensen , Blake McShane , Abraham J. Wyner

We report on quasi-two-dimensional granular systems in which either one or two large balls is fluidized by an upflow of air in the presence of a background of several hundred smaller beads. A single large ball is observed to propel…

Soft Condensed Matter · Physics 2015-03-17 M. E. Beverland , L. J. Daniels , D. J. Durian

Motion blur reduces the clarity of fast-moving objects, posing challenges for detection systems, especially in racket sports, where balls often appear as streaks rather than distinct points. Existing labeling conventions mark the ball at…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Thomas Gossard , Filip Radovic , Andreas Ziegler , Andreas Zell

Sports are a popular and effective way to illustrate physics principles. Baseball in particular presents a number of opportunities to motivate student interest and teach concepts. Several articles have appeared in this journal on this…

Physics Education · Physics 2015-06-04 Brian C. Thomas , Matthew Quick

During the early stages of an impact a small amount material may be jetted and ejected at speeds exceeding the impact velocity. Jetting is an important process for producing melt during relatively low velocity impacts. How impact angle…

Earth and Planetary Astrophysics · Physics 2021-03-03 Shigeru Wakita , Brandon Johnson , C. Adeene Denton , Thomas M. Davison

We study from a statistical physics perspective the dynamics of a bouncing ball maintained in a chaotic regime thanks to collisions with a plate experiencing an aperiodic vibration. We analyze in details the energy exchanges between the…

Statistical Mechanics · Physics 2017-02-02 Jean-Yonnel Chastaing , Jean-Christophe Géminard , Eric Bertin

In baseball, every play on the field is quantitatively evaluated and has an effect on individual and team strategies. The weighted on base average (wOBA) is well known as a measure of an batter's hitting contribution. However, this measure…

Artificial Intelligence · Computer Science 2022-06-07 Hiroshi Nakahara , Kazuya Takeda , Keisuke Fujii

We define and investigate a successful third shot drop in pickleball using a numerical model of pickleball ball aerodynamics. Our overall objective is to investigate the ranges of initial speeds, angles and spins that result in a successful…

Physics and Society · Physics 2025-01-03 D. G. Steyn , Troy Mithrush , Chris Koentges , Susan Andrews , Andre Plourde

We analyze the impact of two equal billiard balls in three ideal situations: when the balls freely slide on the plane of the billiard, when they roll without sliding and when one of them freely slides and the other rolls. In all the cases…

Classical Physics · Physics 2007-11-26 Stefano Pasquero

This paper presents an offset-free model predictive controller for fast and accurate control of a spherical soft robotic arm. In this control scheme, a linear model is combined with an online disturbance estimation technique to…

Robotics · Computer Science 2021-03-15 Yaohui Huang , Matthias Hofer , Raffaello D'Andrea

Several scenarios used in teaching feature a rolling motion with slipping that transitions to one without through friction with the ground. We summarise these transitions by introducing an unknown impulse that is transferred to the ground.…

Physics Education · Physics 2021-10-27 Gerrit Ansmann

This article is devoted to the stabilization of two underactuated planar systems, the well-known straight beam-and-ball system and an original circular beam-and-ball system. The feedback control for each system is designed, using the Jordan…

Robotics · Computer Science 2010-12-01 Yannick Aoustin , Alexander Formal'skii

Sound can complement vision in ball sports by providing subtle cues about contact dynamics. In table tennis, the brief, high-frequency sounds produced during racket-ball impacts carry information about the racket type, the surface…

Sound · Computer Science 2025-09-22 Thomas Gossard , Julian Schmalzl , Andreas Ziegler , Andreas Zell

Putting several hard balls into a two-dimensional bowl can form a very basic two-dimensional model of hard-ball system. When the two-dimensional bowl has a parallel-rotation at a uniform speed around a center, when the number of balls is…

Physics Education · Physics 2024-07-10 T. Z. Lin

In Major League Baseball, strategy and planning are major factors in determining the outcome of a game. Previous studies have aided this by building machine learning models for predicting the winning team of any given game. We extend this…

Machine Learning · Computer Science 2025-11-05 Morgan Allen , Paul Savala

We describe an experiment dedicated to the study of the trajectories of a ball bouncing randomly on a vibrating plate. The system was originally used, considering a sinusoidal vibration, to illustrate period doubling and the route to chaos.…

Statistical Mechanics · Physics 2015-12-18 Jean-Yonnel Chastaing , Eric Bertin , Jean-Christophe Géminard