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Billiards Digest July, 2009 David Alciatore, PhD ("Dr. Dave") ILLUSTRATED PRINCIPLES

Summary: Billiards Digest July, 2009
David Alciatore, PhD ("Dr. Dave") ILLUSTRATED PRINCIPLES
"Draw Shot Physics - Part IV: cue elevation effects"
Note: Supporting narrated video (NV) demonstrations, high-speed video (HSV) clips, and
technical proofs (TP), and all of my past articles, can be accessed and viewed online at
billiards.colostate.edu. The reference numbers used in the article help you locate the
resources on the website. If you have a slow or inconvenient Internet connection, you
might want to view the resources from a CD-ROM or DVD. Details can be found online
at: dr-dave-billiards.com.
This is the fourth article in a series on draw shot physics. In the previous three months, we
looked at the basics, listed a set of conclusions from some physics studies, looked at some
practical examples where the conclusions are useful, and related "quick draw" to spin-to-speed
ratio. All of my past articles are available at billiards.colostate.edu. This month, we will
conclude the series by looking at the effects of cue elevation.
Diagram 1 illustrates an important concept related to cue elevation. Diagram 1a shows a
level cue with a fairly small tip offset from center. Diagram 1b shows an elevated cue with the tip
contact point at the same height above the table (and below the ball's center). Even though the
tip is contacting the cue ball (CB) at the same point in both diagrams, the tip offset is much larger
with the elevated cue. Tip offset is defined as the perpendicular distance between the line of
action of the cue and the center of the CB. The tip offset, not the vertical height below the


Source: Alciatore, David G. - Department of Mechanical Engineering, Colorado State University


Collections: Engineering