The Mechanics of Sports

A 3-Credit Undergraduate Course at Johns Hopkins University

By Dr. Muhammad Ali Yousuf

Page updated on: May 12, 2019


Free website hit counter

Click on the buttons below to search for specific information:

Course Description:

While watching sports you must have felt that your knowledge of physics is just not enough to understand all aspects of them. In this course, you will learn which additional forces are at play in different sports and why a curve ball curves? or why a ping pong ball dunks? You will learn how a tacit knowledge of the physics of projectile motion helped athletes Bob Beamon and Dick Fosbury made their place in Olympics history. You will also understand the use of energy and power in baseball, basketball, cycling etc. You will discover how, by keeping the temperature of the Velodrome at London Olympics at 84F, the planners had given cyclist an edge over the others. These days, athletes are competing for fractions of a second, or even a millimeter to win, and science is hard at work in improving their performance. Learning these concepts will not only allow you to understand the interplay between these two fields of science and sports; you will also be able to contribute to the field later.

Course Goals:

This is a full-semester course which starts with the assumption that you have taken only HS physics. A few review sheets will be available and key concepts will be reviewed in the class too. By the end of the course, you will:

  1. Develop a deeper understanding of basic physics concepts via their applications to sports.
  2. Learn image, video and sound analysis (using software) to help you extract useful data from sporting events
  3. Develop an appreciation for the amount of science and engineering that goes into a sporting event, from the training of players to the design of equipment and playing fields.

History of the Physics of Sports

The real history of the subject is difficult to trace and the reader is referred to other texts. Here we would point out the 'modern history' of the subject. In early 1850s the subject of rotating artillery shells was explored by the German professor Heinrich Magnus. In this project he investigated sideways deflection of artillery shells which were rotating. In 1877 Lord Rayleigh wrote a paper on the irregular flight of a tennis-ball. It can be found here.

You may also go back to my main page, http://pages.jh.edu/~maliyou1/

Syllabus

Starting with an introduction to basic concepts in physics learn why a curve ball curves, why a ping pong ball dunks, how the speed and temperature of bobsled critically define its trajectory and dynamics, etc. The course will try to build general understanding of physics needed to explain various sports in a greater depth and to appreciate the amount of science and engineering that goes into designing sporting equipment.

 

Textbook (Required)

The Physics of Sports.
Author: Michael Lisa
ISBN-13: 978-1259315244 (The Connect version, with online assignments)
Online registration: https://connect.mheducation.com/class/m-ali-yousuf-summer-2018

Supplementary Reading (Not required)

Gliding for Gold: The Physics of Winter Sports
Author: Mark Denny
Publisher: Johns Hopkins University Press
Year: 2011
ISBN: 978-1421402154

Top Hat (Required)

We will be using the Top Hat (www.tophat.com) classroom response system in class. You will be able to submit answers to in-class questions using Apple or Android smartphones and tablets, laptops, or through text message.

You can visit the Top Hat Overview within the Top Hat Success Center which outlines how you will register for a Top Hat account, as well as providing a brief overview to get you up and running on the system.

An email invitation will be sent to you by email, but if you don’t receive this email, you can register by simply visiting our: course website

Note that the Course Join Code is 920003.

Top Hat will require a paid subscription, and a full breakdown of all subscription options available can be found here: Pricing.

Should you require assistance with Top Hat at any time, due to the fact that they require specific user information to troubleshoot these issues, please contact their Support Team directly by way of email (support@tophat.com), the in app support button, or by calling 1-888-663-5491.

Video discussing the physics of sports:

The following video will prepare you before coming to the class.

Alan Nathan: Physics and Baseball: An Intersection of Passions, http://youtu.be/aoMiOakuteg.

Daily Lecture Plan (under construction)

Week Topics (Chapter numbers refer to the recommended text) Course Material
1 Setting up the scene A. Warm-Up: Basic Concepts (Scientific Notation, Units and Conversions)
B. Estimation methods based on sport photos
C. Racing, Mathematically (Speed, velocity, acceleration and their graphical representations, Phelps in Beijing, Bolt in Berlin, rope climbing, etc.)
D. Introduction to sport video analysis (Tracker).
2 One and Two-dimensional kinematics, Forces A. Net Force: Dwight Howard Illustrates (How things interact, the physics of Dwight Howard Dunk, sideways traction, imaginary forces)
B. Punts, the Fosbury Flop, and Other Projectile Motions (What are punts, football punt’s range, hang time, etc. Shot-put. a comprehensive study of projectile motion and human projectiles.)
3 Rotations and collisions A. Curveballs, Foul Shots, and Bent Kicks (Buoyancy, drag, sideward forces, aerodynamic forces, more complicated aerodynamics in sports.)
B. Game Changers: Collisions in Sports (Collisions, physics of a football tackle, gentler pursuits: Bowling, dribbling and driving, etc)
4 Energy and Elasticity A. Energy in Sports: Bursts of Power (Bouncing basketball, efficiency, energy accounting in sports, Behdad Salimikordsiabi’s clean and jerk, etc)
B. Energy and Timing in Elastic Equipment (The physics of archery, Zdeno Chara’s slap, Bungee-Jumping)
5 Rotational Dynamics and Winter Sports A. The Physics of Cycling (Rotational Motion, sustained human power, Talansky drives the bike, power output.)
B. Physics of ice and snow
C. Figure skating, curling

 Supplementary Chapters from the Recommended Text

  1. Lines of Action on the Line of Scrimmage: The Torque Wars
  2. A Barry Bonds Home Run
  3. The Pole Vault
  4. Is It Better to Run through First Base or to Dive?

Reference Books (in random order)

Gold Medal Physics: The Science of Sports
Author: John Eric Goff
Publisher: Johns Hopkins University Press
Year: 2010
ISBN: 978081893223

An Introduction to the Physics of Sports
Author: Vassilios McInnes Spathopoulos
Publisher: CreateSpace Independent Publishing Platform
Year: 2013
ISBN: 978-1483930077

Popular Mechanics - Why A Curveball Curves: The Incredible Science of Sports
Author: Frank Vizard
Publisher: Hearst Books
Year: 2014
ISBN: 978-1618371225

Physics with Video Analysis 
Authors: Priscilla Laws and others
Publisher: Vernier, Inc.
ISBN: 978-1-929075-11-9

The Dynamics of Sports: Why Thats the Way the Ball Bounces
Author: David Griffing
Publisher: Kendall/Hunt Publishing Company; 4 edition
Year: 2000
ISBN:  978-0787271299

Mathletics: A Scientist Explains 100 Amazing Things about the World of Sports
(For reading and discussion sessions in the evening)
Author: John D. Barrow
Publisher: W. W. Norton & Company; 1 edition
Year: 2012
ISBN-13: 978-0393063417

Projectile Dynamics in Sports: Principles and Applications,
Author: Colin White
Publisher: Routledge, London
Year: 2010
ISBN-13: 978-0415473316

Contributions from Readers of this site

We are thankful to many of our readers for taking interest in this website and suggesting even more interesting links and ideas. Here are just a few valuable contributions. We'll be adding more soon. Each subsection contains the name of the person/orgaization making the contribution.

Contributed by Ted Lindblom of Barnet Dulaney Perkins Eye Center

"Here is a link to "How Baseball Players See a Fastball" published by Barnet Dulaney Perkins Eye Center which details the science behind a baseball player being able to hit a fastball pitch. It highlights the amount of time it takes a fastball to travel to home plate vs. the amount of time it takes to blink and a player's ability to predict movement, demonstrating how truly amazing the hitting process is: https://www.goodeyes.com/bdp-news/how-baseball-players-see-fastball/.

Here are some more links which may help students:

  • http://www.physics.usyd.edu.au/~cross/baseball.html
  • https://tht.fangraphs.com/the-intrinsic-value-of-a-batted-ball/
  • https://www.scientificamerican.com/report/baseball-science/."
  • Contributed by Clayton Hudson, Communications manager for SaveOnEnergy.com

    "I was searching for educational science websites and came across your page. We have created a free interactive guide to Kinetic and Potential Energy Our guide is easy to follow and contains numerous graphics that assist with the comprehension of the material."

    Contributed by Prof. Don R. Mueller on his work (Physics professor and former pro baseball pitcher)

    "Concerning my work in tennis, which includes new ways to hit (serves and ground-strokes) and new racket innovations was covered briefly in the NY Times (2018) humorously in cartoon form: http://www.nytimes.com/2018/05/11/sports/tennis/don-mueller-rackets.html

    I wrote about my various racket designs (and functions) in this LinkedIn article: various racket designs (and functions)

    News item from my Physics of Tennis event at the Wayne Racquet Club (NJ)

    Finally, I show off a little ambidexterity in this next article along with my Two-racket Tennis friend from LaLa-land who was happy to have me include his photo in The Buffalo News. I do enjoy a rousing game of what I call Two-racket Tennis"

    Some other Physics of Sports Courses and their Websites

    1. The Physics of Sports by Vassilios McInnes Spathopoulos, http://www.physicsandsport.net/
    2. Physics of Sports by Michael Lisa, http://www.physics.ohio-state.edu/~lisa/1110/
    3. Sports Physics at MIT, http://web.mit.edu/course/8/8.01-sports/www/
    4. Alan Nathan's website on the Physics of Baseball at the University of Illinois
    5. Physics of Sports at SUNY Stony Brook, http://ale.physics.sunysb.edu/~alpinist/phy113/
    6. Physics of Baseball & Softball Bats, at Penn State.

    Following links, taken from the website "Real World Physics Problems" are extremely useful:

    1. The Physics Of Archery
    2. The Physics Of Hitting A Baseball
    3. The Physics Of Basketball
    4. The Physics Of Billiards
    5. The Physics Of Bowling
    6. The Physics Of Bungee Jumping
    7. The Physics Of Cheerleading
    8. The Physics Of Curling
    9. The Physics Of Figure Skating
    10. The Physics Of Golf
    11. The Physics Of A Golf Swing
    12. The Physics Of Gymnastics
    13. The Physics Of Hockey
    14. The Physics Of Ice Skating
    15. The Physics Of Jumping
    16. The Physics Of Kite Flying
    17. The Physics Of Luge
    18. The Physics Of Pole Vaulting
    19. The Physics Of Running
    20. The Physics Of Sailing
    21. The Physics Of Skateboarding
    22. The Physics Of Skiing
    23. The Physics Of Skydiving
    24. The Physics Of Snowboarding
    25. The Physics Of Soccer
    26. The Physics Of Swimming
    27. The Physics Of Tennis
    28. The Physics Of Volleyball

    Videos

    These short video clips are for actual classroom presentation and can be used for activities and group discussions about a particular sport. They may also become the basis for a research project. Keep in mind that if you need to really study a topic, you will need to search for "high speed video of ..." to find good videos which you can analyze with a video analysis software.

    1. Archery, http://youtu.be/qGvm6i6X6LA
    2. Baseball, http://youtu.be/oph9BP4lKjs, http://youtu.be/dg5AuYCsg98
    3. Bowling, http://youtu.be/zdBsqqWP-uY
    4. Cricket, http://youtu.be/Z0C9d5m6SBE
    5. Cycling and Bicycles, http://youtu.be/CwckQUPt0GE
    6. Billiards, http://youtu.be/Uoz7f8-wRRc, http://youtu.be/qKwulo_ag0k
    7. Boomerangs, http://youtu.be/pd69uOHCKnw
    8. Frisbees, http://youtu.be/kuHKAV_Y-L8
    9. Gymnastics, http://youtu.be/BdaAI2lSe8g
    10. Sailing, http://youtu.be/jJtvGF8vZbE, http://youtu.be/yqwb4HIrORM?list=PLXjkczQ7i85z9D6KjLeyuhucXbbc4o_UN
    11. Skipping Stones, http://youtu.be/1vJNWYSzvQ4
    12. Soccer, http://youtu.be/YIPO3W081Hw
    13. Tennis and Racket Sports, http://youtu.be/D2KTVvLWOk0
    14. Water Sports, http://youtu.be/RWvIJVtDVA8?list=PL6DF9CB53362EFAB6
    15. https://ed.ted.com/lessons/the-physics-of-the-hardest-move-in-ballet-arleen-sugano
    16. Football physics: The "impossible" free kick - Erez Garty https://ed.ted.com/lessons/football-physics-the-impossible-free-kick-erez-garty 

    General Websites

    1. On the size of sports fields, http://iopscience.iop.org/1367-2630/16/3/033039/article;jsessionid=E3BFCC68B80076394A032AF94938B549.c4
    2. Balance, angular momentum and sport, http://physicsworldarchive.iop.org/index.cfm?action=summary&doc=25%2F07%2Fphwv25i07a34%40pwa-xml&qt=
    3. Material advantage, http://www.if.ufrj.br/~coelho/PW_July2012_PhysicsAndSport.pdf
    4. The fastest man on no legs, Physics World, Vol. 25, No. 7, July 2012
    5. Getting the Swing of Surface Gravity, http://scitation.aip.org/content/aapt/journal/tpt/50/4/10.1119/1.3694077
    6. How did friction get so smart? http://scitation.aip.org/content/aapt/journal/tpt/39/1/10.1119/1.1343426
    7. Measuring the Effects of Lift and Drag on Projectile Motion, http://scitation.aip.org/content/aapt/journal/tpt/50/2/10.1119/1.3677279?ver=pdfcov
    8. The Bounce of Playgrounds and Gym Floors, http://www.terrificscience.org/downloads/NCW/NCW2008.pdf
    9. Temperature Effects on Ball Bounceability, http://www.terrificscience.org/downloads/NCW/NCW2008.pdf
    10. Baseball: http://webusers.npl.illinois.edu/~a-nathan/pob/
    11. Basketball: http://www.real-world-physics-problems.com/physics-of-basketball.html
    12. Ballooning: http://www.pbs.org/wgbh/nova/balloon/science/
    13. Cycling: http://www.exploratorium.edu/cycling/
    14. ESPN Sport Science videos: http://search.espn.go.com/sport-science/video/6
    15. Cycling: http://www.efluids.com/efluids/pages/bicycle.htm
    16. Simple activity ideas: http://www.ehow.com/info_7996954_science-projects-physics-sports.html

    Physics of Computer Games

    1. Getting on the Ball: How the FIFA 14 Soccer Video Game Finally Got Its Physics Right?, http://www.scientificamerican.com/article/getting-on-the-ball-how-soccer-video-game-got-physics-right/
    2. How physics is driving the computer games industry, http://havok.com/sites/default/files/pdf/PhysicsWorks-PhysicsDrivingComputerGameIndustry.pdf
    3. Evolution of Physics in Video Games, http://www.olafurandri.com/nyti/papers2008/Evolution%20of%20Physics%20in%20Video%20Games.pdf

    Online games

    1. Online physics games, http://www.physicsgames.net/
    2. Physics of Sports Simulation Collection, https://www.physicscurriculum.com/physics_of_sports.htm
    3. http://www.physicsandsport.com/en/

    Experiments

    1. See how a baseball curves using styro balls.
    2. More on how to curve a baseball
    3. Minimizing Handle Forces
    4. Hockey Check Force Calculator
    5. Find many more experiments here:

    6. https://www.exploratorium.edu/explore/sport-science?page=2
    7. Roller Coaster

    Some publications of great value to this course:

    1. A physics heptathlon: simple models of seven sporting events, by Vassilios McInnes Spathopoulos
    2. From Physics world: Dancing with Physics
    3. From Physics world: Balance, angular momentum and sport.
    4. From Physics world: Material Advantage?
    5. From The Physics Teacher: How Did Friction Get So "Smart"?
    6. From The Physics Teacher: A Cool Sport Full of Physics
    7. From Scientific American: The Physics of Somersaulting and Twisting
    8. From Physics Today: The Physics of Baseball

    Specialized Sports Papers

    1. Cycling Science, http://www.popularmechanics.com/outdoors/sports/physics/cycling-science-7-fascinating-facts-about-bikes
    2. A Virtual Exploration of the Bicycle http://www.sciencetech.technomuses.ca/english/schoolzone/pdfs/Cycle-ology/Section-3-Cycling-Science.pdf
    3. How does buoyancy influence front-crawl performance? http://onlinelibrary.wiley.com/doi/10.1002/jst.23/abstract
    4. Ice Hockey - A Cool Sport Full of Physics, http://scitation.aip.org/content/aapt/journal/tpt/46/7/10.1119/1.2981284
    5. Physics of Baseball, http://baseball.physics.illinois.edu/Adair_PhysicsToday_May95.pdf
    6. Physics of Somersaulting and Twisting, http://www.scientificamerican.com/article/the-physics-of-somersaulting-and-tw/
    7. Skiing and Angular Momentum - A Proposed Experiment, http://scitation.aip.org/content/aapt/journal/tpt/11/7/10.1119/1.2350102?ver=pdfcov
    8. Snowboard jumping, Newton's second law and the force on landing, http://physik.uibk.ac.at/04-05/erde/spezial/aufgaben/snowboard+landing_force.pdf
    9. The effect of spin on the flight of a baseball, http://baseball.physics.illinois.edu/AJPFeb08.pdf
    10. The physics of an exercise bike, http://scitation.aip.org/content/aapt/journal/tpt/26/4/10.1119/1.2342497?ver=pdfcov
    11. The physics of golf, http://iopscience.iop.org/0034-4885/66/2/202/
    12. The physics of winning, http://iopscience.iop.org/0031-9120/43/5/006
    13. The racing car turn, http://scitation.aip.org/content/aapt/journal/tpt/26/7/10.1119/1.2342566?ver=pdfcov
    14. The physics of the world's fastest man, http://www.gizmag.com/usain-bolt-fastest-man-physics-analysis/28457/
    15. The physics of sailing, http://www.sailingteam.tuc.gr/TUC_Sailing_Team/INTERESTING/Entries/2010/12/18_Physics_of_Sailing_files/PTO000038.pdf
    There is an extensive amount of literature out there and the above list is just a starting point.

    The objective of this section is to provide ideas on doing simple experiments using easily available hardware and software:

    Images

    Videos

    Sound

    Miscellaneous

    Simulations

    The following PhET and other simulations each has some relevant physics concept explained:

    The following SimScale simulations have some relevant physics concept explained:

    Athletics at Johns Hopkins

    Before we move to Olympics, I must mention our own athletics website with a lot of intereseting information and videos.

    Winter Olympics

    Pyeong Chang, Korea, will host the XXIII Olympic Winter Games, https://www.olympic.org/pyeongchang-2018

    The timing of this course is such that it will end just before them as the 2018 Winter Olympics will begin on: Friday, February 9, and end on: Sunday, February 25. Hence you are encouraged to explore these sports during this course and then use your newly gained knowledge to understand different sports during Olympics.

    You can also go back in time and see what happened in Sochi Winter Olympics 2014. There are 15 sports played during Winter Olympics. These can be snow-based, or ice-based.

    Following sports are represented in Winter Olympics:

    Snow-based:

    1. Alpine Skiing
    2. Biathlon
    3. Cross Country Skiing
    4. Freestyle Skiing
    5. Nordic Combined
    6. Ski Jumping
    7. Snowboard

    Ice-based:

    1. Bobsleigh
    2. Curling
    3. Figure Skating
    4. Ice Hockey
    5. Luge
    6. Short Track Speed Skating
    7. Skeleton
    8. Speed Skating

    Summer Olympics

    The next Summer Olympics will be held in Tokyo in 2020.

    You can also go back in time and see what happened in Rio Summer Olympics 2016.

    Following sports are represented in Summer Olympics:

    1. Archery
    2. Athletics
    3. Badminton
    4. Basketball
    5. Beach Volleyball
    6. Boxing
    7. Canoe Slalom
    8. Canoe Sprint
    9. Cycling Bmx
    10. Cycling Mountain Bike
    11. Cycling Road
    12. Cycling Track
    13. Diving
    14. Equestrian/Dressage
    15. Equestrian/Eventing
    16. Equestrian/Jumping
    17. Fencing
    18. Football
    19. Golf
    20. Gymnastics Artistic
    21. Gymnastics Rhythmic
    22. Handball
    23. Hockey
    24. Judo
    25. Modern Pentathlon
    26. Rowing
    27. Rugby
    28. Sailing
    29. Shooting
    30. Swimming
    31. Synchronized Swimming
    32. Table Tennis
    33. Taekwondo
    34. Tennis
    35. Trampoline
    36. Triathlon
    37. Volleyball
    38. Water Polo
    39. Weightlifting
    40. Wrestling Freestyle
    41. Wrestling Greco-Roman

    Paralympics

    Of particular interest to me are Paralympics, https://www.paralympic.org/sports.

    If you have come to this page (or this part of the page) thinking that this is the CTY's (Center for Talented Youth) course of the same name, please understand that it is not.

    However, I am the course mentor for that course too and hire instructioanl staff to teach that course. If you have worked with CTY in the past, or will be a TA/INST for this course in near future, you might already know me. The information here can be of value to you too as all these resources can be used there. You just have to understand that the audience is different and lectures here are not as interactive as they should be for young CTY students.

    More information about CTY course can be found at the home Page for Physics of Sports offered by CTY

    If you are looking for summer TA positions for this course at CTY, you may apply online and let me know via email address given below. The course is offered at UC Santa Cruz (Santa Cruz, California) and Roger Williams University (Bristol, Rhode Island) sites and CTY provides room and board on site. Travel to the site is NOT included.

     

    Some Lesson Plan and Student Worksheets to help you at CTY

    In-house

    External (Full Lesson Plans and Student Worksheets)

    My Public Presentations on Physics of Sports

     

    Contact mali @ jhu dot edu for more information