I will now repeat before you a homely, but an instructive experiment.
This common jug, when a fiddle-bow is drawn across its edge, divides
into four vibrating segments exactly like a bell. The jug is provided
with a handle; and you are to notice the influence of this handle upon
the tone. When the fiddle-bow is drawn across the edge at a point
diametrically opposite to the handle, a certain note is heard. When
it is drawn at a point 90° from the handle, the same note is heard.
In both these cases the handle occupies the middle of a vibrating
segment, loading that segment by its weight. But I now draw the bow at
an angular distance of 45° from the handle; the note is sensibly higher
than before. The handle in this experiment occupies a node; it no
longer loads a vibrating segment, and hence the elastic force, having
to cope with less weight, produces a more rapid vibration. Chladni
executed with a teacup the experiment here made with a jug. Now bells
often exhibit round their sound-bows an absence of uniform thickness
tantamount to the want of symmetry in the case of our jug; and we shall
learn subsequently that the intermittent sound of many bells, noticed
more particularly when their tones are dying out, is produced by the
combination of two distinct rates of vibration, which have this absence
of uniformity for their origin.
There are no points of absolute rest in a vibrating bell, for the
nodes of the higher tones are not those of the fundamental one. But
it is easy to show that the various parts of the sound-bow, when the
fundamental tone is predominant, vibrate with very different degrees of
intensity. Suspending a little ball of sealing-wax _a_, Fig. 78 (next
page), by a string, and allowing it to rest gently against the interior
surface of an inverted bell, it is tossed to and fro when the bell is
thrown into vibration. But the rattling of the sealing-wax ball is far
more violent when it rests against the vibrating segments than when it
rests against the nodes. Permitting the ivory bob of a short pendulum
to rest in succession against a vibrating segment and against a node of
the “Great Bell” of Westminster, I found that in the former position
it was driven away five inches, in the latter only two inches and
three-quarters, when the hammer fell upon the bell.
[Illustration: FIG. 78.]
Public-domain text, read in full here on John Shaqi.
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