From
http://heiwaco.tripod.com/funnym.htm:
Okay so far...
Still okay so far...
Wrong.
It is in fact .001 times that amount.
That's the factor by which the the height of each mass is reduced, due to the compression of the springs.
PE at all times equals (n
2mhg)/2, where h is the actual height per floor taking any compression of the columns into account. If we call the height per floor with no mass loading and therefore no spring compression h
0, and we know each spring compresses by .001*h
0, then
PE = (n
2m(h
0*.999)g)/2
SE = (n
2m(h
0*.001)g)/2
Following through with your analysis after correcting this error,
SE
max = 3(n
2m(h
0*.001)g)/2
and the remaining 99.7% of the PE is ample for continuing to compress the springs through their plastic limit and then to failure.
Thus, the results of Experiments 1, 2, and 3 are: that sucker's coming down.
Respectfully,
Myriad