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    Article

    Calculations of groundstroke trajectories in tennis

    Numerical and analytical calculations are presented on the flight of a tennis ball and the subsequent bounce off the court for typical groundstrokes. The horizontal flight distance was chosen as 22.77 m, corre...

    Rod Cross in Sports Engineering (2020)

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    Article

    Effect of topspin on the apparent speed of a tennis court

    Experimental results are presented concerning the impact of a tennis ball incident obliquely with topspin on a rigid, horizontal surface. The ball was launched at speeds between 12 and 17 m/s onto P800 emery p...

    Rod Cross in Sports Engineering (2019)

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    Article

    Topspin generation in tennis

    Tennis players impart topspin to the ball by striking the ball in an upwards direction while the racquet head itself is aligned with the string plane approximately vertical. Significantly larger spin can be ge...

    Rod Cross, Crawford Lindsey in Sports Engineering (2019)

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    Chapter and Conference Paper

    A Model of Probabilistic Hysteretic Switching in Organizations

    We propose an application of hysteresis models to explain non-smooth adjustments to individuals’ wage acceptance within organizations, and argue that individuals’ response to incentives can be described as a p...

    Luís Rios, Rod Cross, Dmitrii Rachinskii in Extended Abstracts Summer 2016 (2018)

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    Article

    Factors affecting the vibration of tennis racquets

    Measurements and calculations are presented on the vibration of the handle of a tennis racquet. It is shown that the vibration amplitude depends primarily on the stiffness of the racquet, but it also depends o...

    Rod Cross in Sports Engineering (2015)

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    Article

    The footprint of a tennis ball

    The Hawk-Eye line-calling system in tennis uses a footprint of the ball to determine whether the ball was in or out. However, the footprint itself is not measured. It is the ball trajectory through the air tha...

    Rod Cross in Sports Engineering (2014)

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    Article

    Oblique Bounce of a Rubber Ball

    Measurements are presented on the oblique impact of a hollow rubber ball incident on a polished granite surface, and the results are compared with those for a solid rubber superball. The hollow ball had a much...

    Rod Cross in Experimental Mechanics (2014)

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    Article

    Measurements of drag and lift on tennis balls in flight

    Measurements are presented of drag and lift on new tennis balls in flight. Two video cameras were used to measure the velocity and height of the balls at two positions separated horizontally by 6.4 m. The ball...

    Rod Cross, Crawford Lindsey in Sports Engineering (2014)

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    Article

    Impact of sports balls with striking implements

    A common problem in sports mechanics is to understand and to model the impact of a sports ball with some other object such as a sports surface or an implement used to strike the ball. In this review, we focus ...

    Rod Cross in Sports Engineering (2014)

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    Book

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    Chapter

    Contacting the Ball

    One of the problems faced by a batter is that the ball approaches the batter at high speed, up to 90mph. Batters are somewhat sluggish in responding to this situation. It takes a certain time before they react...

    Rod Cross in Physics of Baseball & Softball (2011)

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    Chapter

    Pitching Trajectories

    The basic task of the pitcher is to throw the ball so that it passes over the home plate at a height between the batter’s knees and shoulders. In baseball, the strike zone extends from the knees to a point mid...

    Rod Cross in Physics of Baseball & Softball (2011)

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    Chapter

    The Trampoline Effect

    The superior performance of non-wood bats is due to the fact that they are hollow rather than solid. The wall of a hollow bat vibrates like a drum when it strikes the ball, emitting a characteristic high pitch...

    Rod Cross in Physics of Baseball & Softball (2011)

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    Chapter

    Flexible Bat Handles

    In recent years, batmanufacturers have been experimenting with flexible bat handles in an attempt to increase bat performance. Some manufacturers claim that better performance is obtained with flexible handles...

    Rod Cross in Physics of Baseball & Softball (2011)

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    Chapter

    Ball Spin Generated by a Bat

    When a batter swings at a ball, the result is often disappointing for the batter. Striking the ball is better than missing it completely, but a miss-hit is not much better. Both are very common. Only rarely do...

    Rod Cross in Physics of Baseball & Softball (2011)

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    Chapter

    Basic Physics

    Most of the physics in this book can be understood in terms of basic high school mechanics and slightly beyond. This chapter is provided for those who might need some extra guidance or a kick-start. The author...

    Rod Cross in Physics of Baseball & Softball (2011)

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    Chapter

    Pitching Mechanics

    Pitching mechanics can mean different things to different people. To coaches and players, pitching mechanics refers to biomechanics, to the actions of all the different body segments involved, the correct sequ...

    Rod Cross in Physics of Baseball & Softball (2011)

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    Chapter

    The Sweet Spot of a Bat

    An interesting aspect of a bat and ball collision, from both a practical and a physics point of view, is that the batter can exert a huge force on the ball without feeling any particular discomfort at the hand...

    Rod Cross in Physics of Baseball & Softball (2011)

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    Chapter

    Ball Bounce and Spin

    Almost all major sporting activities are played with a ball. The rules of the game always include rules about the type of ball that is allowed, starting with the size and weight of the ball. The ball must also...

    Rod Cross in Physics of Baseball & Softball (2011)

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    Chapter

    Ball Hysteresis

    Most of the physics in this book can be understood in terms of basic high school mechanics and slightly beyond. This chapter is provided for those who might need some extra guidance or a kick-start. The author...

    Rod Cross in Physics of Baseball & Softball (2011)

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