Would you say that it was immature of Heiwa to offer money he doesn't have and make a wager he didn't intend to pay?
In
The Heiwa Challenge thread no money is at stake. Just honour = design and demonstrate a structure A that is one-way crushed down when a part C of A (C=1/10A) is dropped on A by gravity. Have a try! This anybody should be able to do at home.
In another thread =
http://www.internationalskeptics.com/forums/showthread.php?t=133271 money (plenty) was offered by me to selected candidates, if they could prove the same thing
theoretically. I haven't heard from them since.
One person has actually produced a very impressive paper (in 1-D) showing what happens when C due gravity drop impacts A.
He considers a classical system of n material points constrained to move without friction along a straight line. Each material point i is characterized by a constant mass charge m
i and by a position x
i relative to an origin O (with infinite inertial mass) at position 0. It is supposed that two adjacent material points are linked by a potential (e.g. a spring), thereby forming a chain.
There are two chains, one C, free, that impacts another A that is fixed to ground. The potentials are assumed to first deform elastically and then break.
The potential yields a Lagrangian sum L of masses involved, giving two Euler-Lagrange equations of motion of all the m
i masses involved in C and A due to their links and the contact forces. We can thus study what happens to chains C and A and their masses and links at impact.
Both C and A, their links, first deform elastically in various ways after impact - A more than C actually, because A is bigger and has more links - and a top link of A may in fact fail before a failure in a C link takes place. We are jointly working what happens next; when intact chain C continues to displace down into A with one damaged (top) link. Will a second link in A fail? When does the first link in C fail?
It would appear that at some time in 1-D a link in C fails and that it is the start of the arrest of link failures. Chain A arrests chain C.
We are even developing the model into 2-D. Links and masses can then displace sideways! Then A arrests C even quicker. Quite interesting stuff. I will send the final paper to ASCE JEM when we have put it all together.
Anyway, it seems it is possible to show theoretically that it is impossible to produce a structure A that is one-way crushed down by a part C of A being dropped on by gravity. But you can always try.