The Science of Baseball, Chapter 1

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The Science of Baseball, Chapter 1 2/25/2019 The Science of Baseball, Chapter 1 A. Terry Bahill Emeritus Professor of Systems Engineering University of Arizona terry@sie.arizona.edu ©, 2017-2018, Bahill

Reference Terry Bahill, The Science of Baseball: Modeling Bat-Ball Collisions and the Flight of the Ball, Springer Nature, NY, NY, 2018 ISBN 978-3-319-67031-7 Chapter 1

The systems engineering process The SIMILAR process is a life-cycle model. But, it is not a serial process. It is parallel and highly iterative. 2/25/2019 © 2017 Bahill

2/25/2019 State the problem “Reason must be the beginning of every activity, reflection must come before any undertaking.” Ecclesiasticus 37:16 Begin with the end in mind Steven Covey and Omega Alpha Association 2/25/2019 © 2017 Bahill

Product Position Statement 2/25/2019 Product Position Statement For engineers and students of the science of baseball, who want to understand bat-ball collisions and the flight of the ball, this book The Science of Baseball presents equations for the speed and spin of the bat and ball after the collision in terms of those same four variables before the collision. Unlike existing books on the physics of sports, this book uses only Newton’s axioms and the conservation laws. It also contains alternative models for bat-ball collisions and the flight of the ball. 2/25/2019 © 2017 Bahill

Newton’s axioms I. Inertia or uniform motion. Every object remains at rest or continues to move at a constant velocity, unless acted upon by an external force. II. Impulse and Momentum. Applying a force changes the momentum of a body. III. Action/reaction. For every action there is an equal and opposite reaction. IV. Restitution. The coefficient of restitution (CoR) is the ratio of the relative speeds of two objects after and before a collision. The CoR models the energy lost in a collision. 2/25/2019 © 2017 Bahill

Overarching conservation laws 2/25/2019 Overarching conservation laws Energy, linear momentum and angular momentum cannot be created or destroyed. These laws are more general than the principles and apply in all circumstances. 2/25/2019 © 2017 Bahill

2/25/2019 2/25/2019 © 2017 Bahill

Three swing models 2/25/2019 © 2018 Bahill

2/25/2019 Free-end motion Kirkpatrick 2/25/2019 © 2018 Bahill

2/25/2019 Free-end collision Kirkpatrick 2/25/2019 © 2018 Bahill

Free-end collision with bat motion 2/25/2019 © 2018 Bahill

BaConLaws model 2/25/2019 © 2018 Bahill

Effective Mass model 2/25/2019 © 2018 Bahill

Spiral Center of Mass model 2/25/2019 © 2018 Bahill

Sliding Pin model 2/25/2019 © 2018 Bahill

Collision with Friction model 2/25/2019 © 2018 Bahill

2/25/2019 © 2018 Bahill

2/25/2019 © 2018 Bahill

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