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Let me respond with my very first thoughts on this. WHO CARES? OK, such
phenomenon are interesting to many of us as puzzles in and of themselves,
but certainly there are far more 'meaningful' (at least to students) things
to worry about than a falling spring which is being stretched only by it's
own weight (once released). Perhaps, if the answer really demonstrates some
important aspect of forces that is applicable in other situations, then the
effort is worthwhile. However, I am skeptical, and worry that if we are
presenting this kind of thing to all but our most dedicated Physics-major
students, then we are likely to elicit (not to our faces) the response
above.
Of course I don't really know Donald's intentions toward this
question--maybe just for his own edification or to challenge the rest of us
on this list.