Waves and ripples in water, air, and æther : $b Being a course of Christmas lectures delivered at the Royal Institution of Great BritainFleming, J. A. (John Ambrose), Sir
Science
Waves and ripples in water, air, and æther : $b Being a course of Christmas lectures delivered at the Royal Institution of Great Britain
Fleming, J. A. (John Ambrose), Sir
Electric waves; Sound; Waves
It is possible to find a weight which applies such a tension to the
cord that its time of free vibration, as a whole, agrees with that of
the fork. The cord is then thrown into stationary vibration. This is
best seen by throwing the shadow of the cord upon a white screen, when
it will appear as a grey spindle-shaped shadow. The central point A of
the spindle is called a ventral point, or anti-node, and the stationary
points N are called the nodes (see Fig. 54). Next let the tension of
the string be reduced by removing some of the weight attached to the
end. When the proper adjustment is made, the cord will vibrate in two
segments, and have a node at the centre. Each segment vibrates in time
with the tuning-fork, but the time of vibration of the whole cord is
double that of the fork. Similarly, by adjusting the tension, we may
make the cord vibrate in three, four, or more sections, constituting
what are called the harmonics of the string.
The string, therefore, in any particular state as regards tension and
length, has a fundamental period in which it vibrates as a whole, but
it can also divide itself into sections, each of which makes two,
three, four, or more times as many vibrations per second.
[Illustration: FIG. 54.]
In the case of a violin or piano string, we have an example of the
same action. In playing the violin, the effective length of the string
is altered by placing the finger upon it at a certain point, and then
setting the string in vibration by passing along it a bow of horsehair
covered with rosin. The string is set in vibration as a whole, and also
in sections, and it therefore yields the so-called fundamental tone,
accompanied by the _harmonics_ or _overtones_. Every violinist knows
how much the tone is affected by the point at which the bow is placed
across the string, and the reason is that the point where the bow
touches the string must always be a ventral point, or anti-node, and it
therefore determines the harmonics which shall occur.
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