Well, since William S. has left a mathematical vacuum here,
I guess it's time for Ms. Wizard to make her debut (maybe
THIS will bring W.S. back...).
Class ! The reason the UNbalanced mass vibrates less is...
similar to...um... See-Saw Theory. If you have identical twins
(or, to depersonalize the whole thing, two identical masses) at the end of
a seesaw, it only takes a tiny push (to overcome inertia, friction
and probably some other obscure forces I'm not considering) to
keep the see-saw motion going. Excuse me...KEN! Stop the spit balls!
Where was I ? Oh, yes...so that the twins can keep going a long
time with little energy. Now replace one of the twins with...a
hefty parent, and it is going to take a LOT of energy to get the parental
unit off the ground. This is the same as the unbalanced lens business.
The inequity tends to dampen the vibrations because it is an unbalanced
system.
Clear as mud, right ?
Recess...
Ms. Wizard, aka La Fang
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