Here's figure 2 of Tichler et al's paper. I think you'll agree it's quite close to the billiard break. In this paper they study the propagation of shocks through interfaces between packings of billiard balls of two different masses. 8' Feet Billiard Pool Table with Automatic Ball Return System on The Short Side Snooker Full Set Accessories Game mod. Enter the RackRack from Mojo Pool This two-piece system includes a steel plate and a plastic housing. EastPoint Sports Dayton Beige 96-Inch Pool Table - Professional Grade 8 Ball Pool Game Table for Billiards, Indoor Games in Rec Room, Basement & Family Game Room. A hook works, but it leaves a big hole in your table, and stashing the rack under the table isn’t a great idea either. MyGift Freestanding Billiards Storage Rack - Vintage Gray Solid Wood Floor Standing Pool Cue Holder, Ball Storage, Triangle Rack Hanging Hook. The derivation of the above equation is apparently in Nesterenko's book "Dynamics of Heterogeneous Materials", though I learned it from this very relevant paper coauthored by some friends of mine: Transmission and reflection of strongly nonlinear solitary waves at granular interfaces, byĪ. When you’re playing pool, it’s important to make sure that your rack is both close by and out of the way. It might be interesting to compare the solutions of this equation with suitable boundary conditions to simulations along the line of Jim Belk's for a very large pool ball rack (large enough at least so that one can follow the shock wave for an appreciable length of time). This rack holds eight cues, a full set of billiard balls, 2 ball racks, and accommodates most other pool accessories. I think the paper I cite below may give you some idea of what can happen as we vary the initial angle. Also, none of the above discussion really depends on the "perfectly centered" initial condition. (If one wants to study shock waves in systems of particles interacting with other force laws, then some of the exponents here change). The force between two balls is given by the formulaį \ =\ \begin)\right]$ The Sphere is cool, but the Omnimax walked so the Sphere could run.The cue ball has a initial speed of 10 units/sec.Each ball has a mass of 1 unit and a radius of 1 unit.All balls are assumed to be perfectly elastic and almost perfectly rigid.This break was computed in Mathematica using a numerical differential equations model. Here is a copy of my answer for it there. This question was cross-posted on Math Stack Exchange.
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