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... Your idea of doing this with Interactive Physics was great. I do
not have time to play with it now but I guess what you did. I suppose
you started with an arbitrary positions and you waited till beads
equilibrated. The gravity was turned off and charges were assigned. You
used position meters to read the output accurately. Right?
Knowing positions you can calculate PE at once.
No need to iterate till the minimum is found, as I did. Was this what
you used Maple for?