beansbaxter
Needs a life
Posts: 5911
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posted December 06, 2005 08:37 PM
Physics Part 12 - a free falling object colliding with the ground
Let's say one for for a cinder block falling down from 10th floor and disintegrating and another for a basket ball.
In either case d/dx is a linear increase and (d/dx)^2 is 1.00G until the object strikes the ground.
It seems like something like cinder block would come to rest instantaneously but that would give infinity for 2nd and 3rd derivative. In real life, it requires a very small amount of time. Anyone have an idea what realistic (d/dx)^2 and (d/dx)^3 function looks like? I'm guessing significantly steeper than a car crash.
Can anyone come up with a realistic graph of a derivative function of falling objects as it falls and strikes the ground in fine resolution?
   
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trenace
Needs a job
Posts: 3056
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posted December 06, 2005 11:15 PM
 Edited By: trenace on 6 Dec 2005 23:21
I cannot imagine how as it would vary enormously between different objects and different energies. Compare a wet sponge versus a Superball vs all sorts of things in the middle, compare the difference between say a soda can hitting softly enough not to deform much vs hard enough to crush, or a soda can filled with lead shot vs a soda can filled with water (which can explode out when the can bursts), etc. All radically different and most of them likely not simple functions.
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238mph
Pro
Posts: 1145
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posted December 09, 2005 07:19 AM
Edited By: 238mph on 9 Dec 2005 07:20
Yes that's interesting... molecular defection WITHIN the object makes the math infinitely
more difficult.
That's the main reason that Pro-E is used in automotive design vs Inventor... Pro-E allows
the designer to indicate what metals are used in each area and actually calculates the
effect of an impact to a certain area with a stated force.
The results are pretty amazing when compared to an actual crash... I got hooked on it
because I can put a piece in motion, and check for interference... so I don't use that function
but I've seen some of the other guys run the scenario... pretty cool.
____________
Pilot Powers took me to the grave, and brought me back...
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ozzy
Needs a job
need guberment cheese
Posts: 3172
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posted December 10, 2005 05:01 AM
Edited By: ozzy on 10 Dec 2005 05:01
Lets make this a bit seasier for us dumb arse bikers to understand.
Let's say one for for a ZX10R falling down from 10th floor and disintegrating and another for a YZF-R1
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238mph
Pro
Posts: 1145
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posted December 10, 2005 06:41 AM
quote:
Lets make this a bit seasier for us dumb arse bikers to understand.
Let's say one for for a ZX10R falling down from 10th floor and disintegrating and another for a YZF-R1
With or without a fat chic on the bike??? 
____________
Pilot Powers took me to the grave, and brought me back...
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