Incoming long postWell, by "wobble" i mean the arrow flexes or wiggles for a bit as it flies. You can look up videos of arrow flight in slow motion to see what I mean.
I'm no physics expert, but I've drawn a picture to communicate my understanding of this.
So basically imagine you have a straight piece of wood, like a long thin dowel rod, and you jab it at someone's chest with it. Then imagine you flop it around a bit and jab again. The 2nd jab will likely impart less force because it will be flexed when it strikes.
The arrow shot at point blank will still have energy and straighten itself after it hits, but the straight arrow has the entire shaft driving directly behind the point.
This is very interesting actually.
I have watched this video to try understand that wobbling a bit better
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The thing is, does the upper arrow have more energy than the lower one? No, it has not. Because at the moment the arrow is released the energy would be 1/2* mass* (initial) velocity. However when it travels, energy is indeed lost, mainly due to air friction, also gravity affects it, and i think if the arrow starts rotating it loses energy to it but i am not sure.
Your theory is that an arrow from up close, if it is in a state as you have described, a wobbly state where the arrow is flexed would deliver less damage than a stabilized arrow on a greater range, you have used this as an evidence.
So basically imagine you have a straight piece of wood, like a long thin dowel rod, and you jab it at someone's chest with it. Then imagine you flop it around a bit and jab again. The 2nd jab will likely impart less force because it will be flexed when it strikes.
Yea true you would expect that the rod would resist like some sort of spring and bend even more because it is already bent, but i dont think you can make that comparison because now you have made that a property of the rod, while the arrow is actually straight.
The reason why it wobbles is following:
Imagine you are in a vacuum space, you are standing on location A and on location B there is a button. The distance betweeen the two is a lightyear, so it would take a lightbeam to travel 1 year in order to reach, and as we know, there is no such thing as faster-than-light (only relative is possible but not faster than lightspeed in vacuum). Now imagine you have a lightyear long rod between you and the button, what would happen if you press it and at the same time you would emit light towards that direction, does this mean the rod pushed the button before the light arrives at the same spot, and therefor you transmitted information faster than light?
Nope, what actually happens, is that the rod doesnt move that fast, not directly. What you do is, you push the front row of particles in the rod, and they push the next one and so on. This moves at the speed of sound in the objects material.
This is basicly what happens:
So lets say the arrow has stabilized and hits the target, it doesnt hit it as a completely stiff object, it happens again as above, a wave motion, so it should be wobbly at impact too as it was at launch. This happens because of the impact forces on the arrow.
Note i am not trying to argue or say you are wrong, i just like talking about such stuff, i find it fascinating for some reason.
It would be actually really cool if you would do an experiment with a arrow from close range and longer range and see which one has deeper impact, note that you must maintain the same variables at all time, especially the draw force.
And i am not a physics expert myself but it is some basic knowledge i know about energy and motion laws