achtungpv wrote:Is there a point where the pendulum is too long? I don't know. Maybe a physics guru can chime in but there seems to be a reason why tall vaulters, even those that grow up with the Petrov Model (i.e. Chistyakov 6'7"), can't quite fully realize the technical model. But other than Tarasov (who wasn't quite perfect) few of the 6'4"+ guys has come remotely close to "jumping the model" (Actually, I can only think of Trandenkov as an example). I think to jump the model the sweet spot for height is probably 5'11" to 6'2".
Excellent food for thought. Recall Alan's distinction between technical model and style--model being the vision of perfection to which we aspire, style being the way in which we fall short of realizing that model due to our own individual physical characteristics. From a strict theoretical perspective, no one has realized the Petrov model--not even Bubka (though he was the closest). From a more pragmatic perspective, even tall vaulters can realize the model if their failings are attributable to style (i.e. physical limitations).
VTechVaulter wrote:so my belief is that as long as you begin the swing with a good long whipping actuion through the cord of the pole, curling your legs in a bit to keep your hips moving upward is not the worst thing you can do. from a "physics" standpoint, there is no energy loss.
Indeed, your analysis is spot-on. There is no direct cost to tucking during inversion to speed rotation, but there is an opportunity cost. Let me explain...
Imagine you are doing a typical PV rope swing drill (swing, invert, extend up the rope) on a very flexible piece of bungee cord (you can actually watch this in the "Additional Drills" section of either the BTB or BTB2 DVD). Think about how your body position changes during this drill. When you start, your legs and centre of mass are underneath your hands. When you finish, they're above. This swing-invert-extend action has raised your centre of mass, and for every action there is an equal and opposite reaction. In this case, the reaction force is exerted on the rope. As you pull your centre of mass up, an equal force pulls down on the rope. You will notice that the bungee flexes according to this force and then recoils tight once the movement is complete.
A flexible pole works in the same fashion. The downward force of lifting your CoM in the inversion, extension, and pull/push phases has two effects: it increases the bend in the pole (storing more energy in it), and delays its unbending (giving you time to "cover" it, so that you can exploit the full force of it's recoil).
Remember that the swing has two sources of energy: the natural swing about the top hand (caused by your hands meeting resistance from the pole while your body's impulse carries you forward), and the kick-whip action of the pre-stretched muscles from the shoulders to the knee of the takeoff leg (i.e. the gymnastic tap swing effect). Once both these movements are complete, when you have kick-whipped your body into a straight position, like VTech said it doesn't matter what shape you take--the law of conservation of angular momentum will keep the energy from the swing the same. This is why even the tightest tuckers of the tuck-and-shoot vaulters will NEVER begin to tuck before they have swung straight.
The opportunity cost of tucking is that it cheats you out of energy you could be adding to the vaulter-pole system in the inversion and extension phases as you lift your centre of mass above your hands. Think back to the analogy of the swing-invert-extend drill on the bungee cord. Invert with a tight tuck, and the bungee stretches a little. Now invert with as straight a body as your strength allows, and the bungee stretches a LOT. Why? Because your bodyweight is cantilevered. Think of holding a pole straight up vs. straight out. The leverage weight of inverting a straight body is greater than that of a tucked body, so the resulting force on the bungee (pole) is greater, meaning more stretch (bend) and a harder recoil.
So then the challenge becomes, how do we perform all the prior parts of the vault in a way that both maximizes the energy of each earlier phase AND put ourselves in a position not to NEED a tuck, so that we can add more energy to the jump by inverting and extending with a straight(er) body?