Modeling and Simulation Group Meeting

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Collisions of billiard balls in 3D with spin and friction

Speaker: Charlie Peskin, CIMS

Location: Warren Weaver Hall 1314

Date: Thursday, October 1, 2020, 12:30 p.m.

Synopsis:

The collision of billiard balls is influenced by their spin. This influence is a consequence of friction that acts during the very brief time that the balls are in contact. Here we use the Coulomb friction law, which is especially convenient because it does not require knowledge of the area of contact. In center-of-mass coordinates, we solve the general problem of the collision of identical billiard balls in 3D. When sliding friction is the only dissipative mechanism, we are able to express the outgoing state of the balls unambiguously in terms of their incoming state. When there is additional dissipation associated with compression of the balls during the collision, there is a one-parameter family of solutions depending on the extent of this additional dissipation.

 

Notes:

https://www.math.nyu.edu/faculty/peskin/Collision_of_Billiard_Balls_in_3D_with_Spin_and_Friction.pdf