Lucas Ives wrote:littlegrooves wrote:Lucas Ives wrote:The stick needs proportionally more mass toward the front in order to rebound well.
I'm not quite sure if this is correct, if you mean "front" to be the bead. If one wants a stick that readily rebounds, then you want more mass on the other side of the fulcrum, opposite the bead-end of the stick. This is a simple matter of leverage. To illustrate this with a thought experiment, if you were to add a weight to your stick, where do you intuitively feel that it would 1.) help your rebound the most, 2.) hurt your rebound the most?
1.) The bead end. 2.) The butt end.
It may seem counter-intuitive at first, but looking at it through the lens of Newton's 2nd (F=ma) and 3rd (equal/opposite reaction) laws may make more sense. If you're really bored, you can duct-tape some quarters to the back and then the front and execute some free strokes, or as deseipel suggests, just slide your grip up and down the stick. Rebound gets a lot more difficult a lot more quickly moving the fulcrum up toward the front.
You don't have to take my word for it, either. Greb, Weckl, and Mayer all espouse the same thing in their clinics and instructional products.
Alright, time to get nerdy since you opened the can of worms
To be honest, F=ma and the 3rd law don't tell you anything about semi-inelastic collisions (in the form you stated them), which are what sticks hitting drumheads are. For that you need to look at momentum (p = m*v, noting that: F = dp/dt = m*dv/dt = ma). If you wanted to look at the entire system of a stick, fulcrum, drumhead, radial velocity, etc... then you are looking at a first year dynamics problem that I don't have the patience to solve. However, if you simply look at leverage (M = F*d), then you can see how distance from a fulcrum (d) affects the leverage (M). Moving your hand up and down a drumstick and hitting a head with it will tell you when you have distributed your masses such that your leverage is "balanced". The more mass to the back of the stick, the more "help" with a rebound you get, but the more work you do to hit the drumhead, and vice versa. The phenomenon you described of having difficulty getting rebound as you move up the stick has more to do with choking the stick, rather than a leverage issue.