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Visual standing waves on taut strings

We have two setups for generating standing waves. Two people can swing the long spring. Make it two physicists who know what type of wave pattern they want and they can generate a standing wave with 2, 3, 4, perhaps 5 nodes. The nodes are separated by tex2html_wrap_inline148 which therefore takes on values
equation30
Since tex2html_wrap_inline150 the corresponding ``resonance'' frequencies are
equation36
We also have a setup which can induce such standing waves by exciting a string which is kept taut by hanging a mass from one end.



Collin Broholm
Wed Nov 12 13:30:20 EST 1997