# Standing waves in a metal rod

1. Nov 9, 2009

### klng

Hello friends,

I have done some research on the Internet about producing standing waves in a metal rod, and how the various harmonics frequencies are being derived. I have two questions that i wish to discuss here:

1. Is the pattern of standing waves and method of formula derivation the same, even when we use a solid metal rod, i.e. the rod is filled in the centre, as opposed to a hollow tube?

2. When we strike the rod at one end, we should do so by striking the rod longitudinally, i.e. the hammer strikes the face of the rod end. Only then will standing waves be formed, and we can derive our harmonics frequencies formula (depending on where we hold the rod). My question is, what happen if we strike the end in a transverse manner, i.e. we strike the hammer across the end of the rod. Will there be any pattern of standing waves being formed, and can we derive a formula to determine the harmonics frequencies? Apparently, there seems to be such a formula, though i can't figure out how it was being derived. Pls refer to this link, look under the bold header "Extensions, other activities using the bar":
http://www.exo.net/~pauld/summer_institute/summer_day11sound/ringing _Al_rod.html.
There is a table of values there, associated with the various harmonics.

Hope experienced forummers can help shed some light on the matter.

Thank you!

2. Nov 10, 2009