> >This particular wire woven into the gut makes the string more rigid,
> >and when vibrating, it is as though the string is shorter, because
> >it does not quite vibrate for the entire length of the string.
The phrase
"it does not quite vibrate for the entire length"
is misleading, and could not support a quantitative
analysis. Here is a more accurate version:
" ... and when vibrating, it vibrates
faster because the rigidity adds extra
restoring force when the string is displaced
from its rest (equilibrium) position."
In other words,
A limp string gets restoring force
1. from the tension only.
A semi-rigid string gets restoring force
1. from the tension, and
2. from the rigidity.
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