But this is not the case under all circumstances. It is possible only
when the impulses imparted synchronise with the swings of the pendulum.
If we should communicate the second impulse at the end of half a second
and in the same direction with the first impulse, its effects would
counteract the motion of the pendulum. It is easily seen that our little
impulses help the motion of the pendulum more and more, according as
their time accords with the time of the pendulum. If we strike the
pendulum in any other time than in that of its vibration, in some
instances, it is true, we shall augment its vibration, but in others
again, we shall obstruct it. Our impulses will be less effective the
more the motion of our own hand departs from the motion of the pendulum.
What is true of the pendulum holds true of every vibrating body. A
tuning-fork when it sounds, also vibrates. It vibrates more rapidly when
its sound is higher; more slowly when it is deeper. The standard _A_ of
our musical scale is produced by about four hundred and fifty vibrations
in a second.
I place by the side of each other on this table two tuning-forks,
exactly alike, resting on resonant cases. I strike the first one a sharp
blow, so that it emits a loud note, and immediately grasp it again with
my hand to quench its note. Nevertheless, you still hear the note
distinctly sounded, and by feeling it you may convince yourselves that
the other fork which was not struck now vibrates.
I now attach a small bit of wax to one of the forks. It is thrown thus
out of tune; its note is made a little deeper. I now repeat the same
experiment with the two forks, now of unequal pitch, by striking one of
them and again grasping it with my hand; but in the present case the
note ceases the very instant I touch the fork.
What has happened here in these two experiments? Simply this. The
vibrating fork imparts to the air and to the table four hundred and
fifty shocks a second, which are carried over to the other fork. If the
other fork is pitched to the same note, that is to say, if it vibrates
when struck in the same time with the first, then the shocks first
emitted, no matter how slight they may be, are sufficient to throw the
second fork into rapid sympathetic vibration. But when the time of
vibration of the two forks is slightly different, this does not take
place. We may strike as many forks as we will, the fork tuned to _A_ is
perfectly indifferent to their notes; is deaf, in fact, to all except
its own; and if you strike three, or four, or five, or any number
whatsoever, of forks all at the same time, so as to make the shocks
which come from them ever so great, the _A_ fork will not join in with
their vibrations unless another fork _A_ is found in the collection
struck. It picks out, in other words, from all the notes sounded, that
which accords with it.
Public-domain text, read in full here on John Shaqi.
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