Morphy wrote on Sep 23
rd, 2010 at 7:01pm:
I don't think it's quite that simple...
Oh, it isn't by far. I'll admit that.
Morphy wrote on Sep 23
rd, 2010 at 7:01pm:
This inverse relationship you have between your two equations is not accurate in a real world scenario... From a real world scenario, take two stones, one is 1 oz and the other is 2 oz. Both can be slung at near the same speeds even though one has 100% more mass then the other.
If the speeds that the projectiles can be slung at are near equal then we can arbitrarily say that the 2 oz. stone is a situation where you can have both high mass and velocity. Agreed?
I would only emphasize choosing a noticably smaller projectile when the larger one is massive enough that you cannot accelerate it as fast (or apply a large enough impulse during the throw) as the smaller projectile. Choosing the smaller projectile is also only advantageous if the impact is spread out over a certain ammount of time, but not spread out to the point of softening the blow. Also there are definitely exceptions where a huge stone would be better, like extremely close range or some kind of armor on the prey animal (like a turtle, armadillo, etc.). I'm an aerospace engineering student and I have absolutely no knowledge of anatomy (besides that the hip bone is connected to the leg bone) so I can't say anything about the torque produced by the arm, acceleration, or anything anatomically possible. I'll take your word for all of it. Like my crazy Calculus I professor says, "Don't write what you don't know!"