While idealized physics assumes perfect sliding, a real pool table introduces friction. Friction exists between the ball and the cue tip, the ball and the cloth, and between the balls themselves. Sliding vs. Rolling
The physics of pocket billiards is a demonstration of Newtonian mechanics in a low-friction environment. Mastery of the game requires an intuitive grasp of vector decomposition, angular momentum transfer, and frictional coefficients. While the player sees a game of shots, the physicist sees a system of differential equations governing the interaction of spheres and boundaries.
The Physics of Pocket Billiards: Unlocking the Science Behind the Table
No collision is perfectly elastic. The coefficient of restitution (COR) for billiard balls is about 0.85–0.90. This means a small amount of kinetic energy converts into heat and sound. In practice, this is why a ball slows down slightly after bouncing off a rail. A dedicated would include tables of COR for different ball materials (phenolic resin vs. polyester) and rail rubber compounds. the physics of pocket billiards pdf
Arthur didn’t just play pool; he mapped it. While the other regulars at The Broken Cue relied on "feel" and "hustle," Arthur carried a dog-eared notebook filled with vector diagrams and friction coefficients. To him, the green felt wasn’t a table—it was a Euclidean plane where geometry and momentum held court.
For those looking to move beyond intuition and master the game through science, studying The Physics of Pocket Billiards (often sought in PDF format for study) is the ultimate guide to understanding how to control the table. 1. The Basics: Kinematics and Energy Transfer
Woven tightly without nap (fuzz). This minimizes friction, allowing balls to slide farther and roll faster, keeping physical paths highly predictable. While idealized physics assumes perfect sliding, a real
On faster cloth, the cushion has less time to deform, resulting in more energy retention.
Sidespin that matches the direction of the cushion bounce accelerates the ball along the rail, widening the reflection angle.
An interesting feature of the physics involved in pocket billiards is the . When a cue ball is struck, it initially slides across the cloth due to friction before eventually reaching a state of "natural roll" where its rotational speed matches its forward velocity. Rolling The physics of pocket billiards is a
In 1835, physicist Gaspard Coriolis (famous for the Coriolis effect) noted that the path of a spinning cue ball after hitting another ball is actually parabolic due to the interaction of spin and friction.
: Spin (English) affects the ball's trajectory via "squirt" (deflection) and "swerve" (curve), while follow and draw create parabolic paths after impact. Cushion Interaction
When the cue ball strikes an object ball at an angle (a cut shot), the resulting paths follow predictable geometric lines. The Tangent Line
When you strike an object ball at an angle (a cut shot), the collision physics change. Assuming no spin (english) is applied: