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LordODiscipline -> RE: curious (12/31/2004 5:44:52 PM)
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F=MA
Force = Mass times acceleration
Understanding that the experience of pain is entirely subjective (different for every person although common throughout humanity), and discounting (for the moment) issues suchn as windage and gravitational force, you can assume that as the mass of the device being used is increased, the force of the impact (if the acceleration of the swing is constant) is increased as well.
ALso, as the acceleration of the device is increased (if the mass remains constant) the force of the impact is increased.
Second part - same boring issue as the first - mathmatics and physics.
Archimedes once said that if he was given a large enough lever he would "move the world".
A lever is a 'simple machine' that utilizes a fulcrum (or, balancing point) to allow force to be allplied on one side, and (therefore) move something on the other side.... a good simple exxample is a 'teeter toter' that we all used to play with as children (and, it is MY TURN!)
If you imagine that the wrist of the person striking as the center point (fulcrum) on the teeter toter and the paddle/whip/implement being the 'board' you can realize that
1. The longer the device the further the travel and the greater the force has to be to make it 'go' - this is compounded in the swing (same mass - as the implement is not changing, but the acceleration has to be greater to break the initial static [still or at rest] condition of the implement in order to 'get it ta going') ; and,
2. The wrist's action (after the breaking the inertia of being still) shows that the length of the end piece (handle portion that extends beyond the end of the hand) is very short - so the ultimate force being applied is increased.
A third thing to consider (HEY YOU ASKED FOR THIS!):
Is the cross sectional impact area on the device that is being used. the smaller the end (consider the end of a whip vs. a flogger (all the flays) and/or the end of a paddle vs. the end of a cane.
if (as we recall) F=MxA, we might also consider that "Force" is a measurement of energy..... so, if a mass has an acceleration applied to it, there is a certain amount of energy that has to be involved.
When the paddle impacts on a hind side (as a pleasurable thought), that energy is being displaced to the ass cheek in the form of noise, absorbtion by the body, and impact waves (air impact wave).
Since we know that the mass and acceleration and the force are all constat in this, the force being ikmparted to the ass is being done across the the area that the paddle has on the face of it.
If you could guarantee the same same force (energy) that would more than likely mean an increased acceleration as a cane of similar mass would be quite large in most generic instances.
As anyone who has been hit with a cane shall attest (this is not guess work), the smaller impact area of the cane requires (in many instances and with many people) a lighter touch (or, swing) - and, to all you heavy masochists: I am not talking about you at the moment - but, talk to me later ;)
The smaller head of the cane delivers a force over a smaller area and therefore a greater impact is felt.
OK - for further reading, the Library of Congress recommends the follwoing (this is physics for the hardcore coming your way):
Do a google for: Goriely-Mcmillen-02(whip).pdf
and, the following:
http://www.necc.mass.edu/MRVIS/MR3_13/start.htm
http://www.thehaca.com/spotlight/GTA/motions_and_impacts.htm
If you made it this far, congratulations - and, time to see the doctor
~J
OK - I am backing out now as my brain is damaged -
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