m₁v₁ᵢ + m₂v₂ᵢ = m₁v₁f + m₂v₂f
Striking the ball above center causes it to rotate forward faster than its travel speed. After hitting the object ball, this "over-spin" overcomes the 90-degree rule and pulls the cue ball forward. the physics of pocket billiards pdf
The total momentum of the system (cue ball + object ball) remains constant. This is why a "stop shot"—where the cue ball stops dead after hitting an object ball full-on—is possible; the cue ball transfers all its momentum to the second ball. 2. The Power of "English" (Spin) m₁v₁ᵢ + m₂v₂ᵢ = m₁v₁f + m₂v₂f Striking
When you use sidespin, the cue ball squirts in the opposite direction of the spin. The PDF proves that squirt is proportional to the of the cue and the endmass of the shaft. This is why low-deflection shafts exist; the PDF contains the finite element analysis proving they work. This is why a "stop shot"—where the cue
Because all balls have identical mass (( m )), the equation simplifies to a vector relationship. The critical takeaway for the player (which the PDF explains with geometric proof) is the : On a perfectly cut shot with no spin, the cue ball and object ball will scatter at exactly 90 degrees relative to each other.
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