Cornerman said:
That is to say, there's sufficient evidence in both the real world and by physics to dismiss the simple saying "lighter is better because you can get a higher velocity" as nothing more than a simple saying.
I read Ron Sheppard's paper more extensively, and I have one big problem with his physics. Well, it's not really his physics or math that I have a problem with, but one of his assumptions.
First, look at his equation for total kinetic energy (
T) on page 23. The total kinetic energy is split into two parts...the kinetic energy of the forerarm (
Tf) and the kinetic energy of the stick (
To). He mentions that for a fixed force and forearm length, the total kinetic energy will be the same. I agree 100% so far.
But then on Problem 3.3 and his discussions on p.23-24, he states that only the cue stick energy (
To) matters at impact? How so? What happened to the mass and kinetic energy of your forearm? Are you throwing the stick at the CB, such that you're totally letting go of the stick right before impact? No, you are still holding on (for many, very tightly) to the stick up and through impact with the CB. Therefore, the mass and kinetic energy of your forerarm should still have some effect on the CB.
It does make sense that in order to optimize the cue stick energy
To for a fixed total kinetic energy
T, then you'd want to increase the mass of the stick (in relation to your forearm mass)...BUT ONLY if you're throwing your stick at the CB! Because you are not throwing the stick, the total energy
T, not
To, should be used in P3.3. Thus the
effective cue stick energy should be the same regardless of cue weight.
In the first paragraph of p.24, he explains his fundamental tradeoff. A lighter cue stick would achieve the highest transfer of energy from cue stick to cue ball. However, a heavier stick would maximize the stick energy for a fixed total energy during the stroke. He then combines the two competing equations and solves for a sweet spot. However, because he's assuming you're letting go of the cue before impact, then there should be no added benefit in increasing the weight of the cue. Therefore, the physics does say that lighter the better! Let me know if I'm just crazy.