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[Phys-L] Re: Singing Rod Demo....



At 04:48 PM 11/26/2005, John Denker, you wrote:

/// I think Carl Preske gave the best answer to the original question:
Pay attention to the polarization of the _excitation_. Forget about the
rosin, just smack the end of the rod against a hard floor or other hard
surface ... or smack it end-wise with a hammer. Geometrically this *has*
to couple to the longitudinal mode(s) and not to any transverse modes.

A conceptual problem of relating cause to effect is that
exciting a bar transversely also gives rise to longitudinal vibrations.
For a skeptic, this might lead to the doubtful proposition,
"If a transverse excitation can lead to longitudinal vibrations,
why couldn't a longitudinal stimulus give rise to transverse vibrations?"

How could one possibly demonstrate the vibration visually?
With a telemicroscope possibly.
Instead, perhaps one could introduce a dimensionally similar bar of steel.
to compare with the aluminum rod. Or a brass one? Or a water one?
(A water column in a plastic tube would presumably show a
longitudinal singing
mode, though transverse modes are not possible except via the plastic tube
container.....)
The ratios of both stiffness and density are well -known and would help decide
on the transmission mode if one offers the scaling law root (modulus/density)
for longitudinal speed of sound


Brian Whatcott Altus OK Eureka!
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