Dale
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I, the Archivist and Researcher Extraordinaire, have spent the last <mumble mumble> minutes reading articles ... well... one article ... on compound bows. But it was a good article. Very informative. As far as it went.
So now I'll tell you all I know about compound bows (comprised of what I just read, and my memory of playing with a friend's compound bow some years ago).
The whole idea of the compound bow, is to make it easier to hold the bow at full draw. That's it. The string and cam(s) [older bows have two identical cams, newer have one circular pulley and one cam] are arranged so that when you draw the bow, you have to apply more and more force to the string, and then all of a sudden the limbs relax and so can you. When you loose the string, it "slowly" pulls away from your fingers for a quarter or a half inch, and then suddenly it's being pulled on at full force again, and the arrow takes off.
You're probably saying, Right, I know all that, tell me something NEW!
The secret to all this is the shape of the cam. The cam will almost always be eccentric (the mounting hole is NOT at the geometric center). It might be a simple ellipse, but probably has some odd shape. The cams I have seen have been odd, mostly. The cam is shaped, and oriented, so that it is "longest" when you are almost at full draw, then when you pull the string a little farther it rotates so that it is "shorter" and it lets the limbs relax a bit. Some cams let the limbs relax a lot (like, a 70-pound bow that lets off to about 15 pounds, but that sounds like an extreme case).
Designing the shape of the cam, is not something I am even going to try to explain (because I don't understand it myself). I do know that the shape of the cam, will be driven by the geometry of the bow it goes with: the length of the limbs, the arrangement of the string, and so on. It has to be shaped so that the limbs bend smoothly as you draw the string, and then as you finish the draw the limbs relax and pull less strongly on the string.
*sigh* You are probably still saying, OK, tell me something I DON'T know!
The best thing for you to do, besides trying to make sense of my ramblings, is go down to an archery shop, ask to see a compound bow, and play with it. Do NOT play with a strong bow, play with one that is fairly light. And DO NOT ever "dry-fire" it! You'll wind up paying for the bow whether you intended to buy it or not -- "dry-firing" a compound bow typically voids any warranty on it. I say this because it is very, very easy to get caught by surprise, as you start to let the bow down; to forget that it's about to pull very hard on your fingers. I speak from near-experience; I was lucky, I didn't quite lose my grip on the string, but it was a near thing. My friend would not have appreciated me breaking his brand new Christmas present (nor would his wife, whose gift it was).
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