When the wire of our monochord is plucked aside, you hear the sound
produced by its transverse vibrations. When resined leather is rubbed
along the wire, a note much more piercing than the last is heard. This
is due to the longitudinal vibrations of the wire. Behind the table
is stretched a stout iron wire 23 feet long. One end of it is firmly
attached to an immovable wooden tray, the other end is coiled round a
pin fixed firmly into one of our benches. With a key this pin can be
turned, and the wire stretched so as to facilitate the passage of the
rubber. Clasping the wire with the resined leather, and passing the
hand to and fro along it, a rich, loud musical sound is heard. Halving
the wire at its centre, and rubbing one of its halves, the note heard
is the octave of the last: the vibrations are twice as rapid. When the
wire is clipped at one-third of its length and the shorter segment
rubbed, the note is a fifth above the octave. Taking one-fourth of its
length and rubbing as before, the note yielded is the double octave
of that of the whole wire, being produced by four times the number of
vibrations. Thus, in longitudinal as well as in transverse vibrations,
the number of vibrations executed in a given time _is inversely
proportional to the length of the wire_.
And notice the surprising power of these sounds when the wire is rubbed
vigorously. With a shorter length, the note is so acute, and at the
same time so powerful, as to be hardly bearable. It is not the wire
itself which produces this intense sound; it is the wooden tray at
its end to which its vibrations are communicated. And, the vibrations
of the wire being longitudinal, those of the tray, which is at right
angles to the wire, must be transversal. We have here, indeed, an
instructive example of the conversion of longitudinal into transverse
vibrations.
§ 2. _Longitudinal Pulses in Iron and Brass: their Relative Velocities
determined_
Public-domain text, read in full here on John Shaqi.
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