1. Table Tennis Dynamics
Mitch Robinson

2. The Physics: Translation
Behind the complex skill involved with table tennis is a interesting world of physics
Forces:
Magnus Effect (Lifting Force)
Derived from Kutta Condition
with integration over cylinders of
dx height
Gravity
Drag
Used a fourth order ODE solver to apply forces and step through time

3. The Physics: Rotation Spin Characteristics: Spin (s) Velocity (vx, vy)
Coefficient of Restitution (ex, ey)
Conservation of angular momentum
Moment of Inertia for Thin Sphere Shell
Exit Translational Velocity for
Exit Rotational Speed

4. Movie

5. Movie 2

6. Sources
Ou, Kui. Computational Sports Dynamics of a Moving Sphere: Simulating a Ping Pong Ball in Free Flight. Aeronautic and Astronautics Department, Stanford University. 30 June, Cross, Rod. Bounce of a spinning ball near normal incidence. Physics Department, University of Sydney. 4 July, 2005.