But if, instead of the hand being moved to and fro in the direction of
this heavy cord, it is moved at right angles to that direction, then
every upward movement of the hand coincides with an upward movement of
the cord; every downward movement of the hand with a downward movement
of the cord. In fact, the vibrations of hand and string, in this case,
synchronize perfectly; and if the hand could emit a musical note, the
cord would, emit a note of the same pitch. The same holds good when a
vibrating fork is substituted for the vibrating hand.
Hence, if the string vibrate as a whole when the vibrations of the
fork are _along_ it, it will divide into two ventral segments when the
vibrations are _across_ it; or, more generally expressed, preserving
the tension constant, whatever be the number of ventral segments
produced by the fork when its vibrations are in the direction of the
string, twice that number will be produced when the vibrations are
transverse to the string. The string A B, for example, Figs. 48 and
49, passing over a pulley B, is stretched by a definite weight (not
shown in the figure). When the tuning-fork vibrates _along_ it, as in
Fig. 48, the string divides into two equal ventral segments. When the
fork is turned so that it shall vibrate at right angles to the string,
the number of ventral segments is four, Fig. 49, or double the former
number. Attaching two strings of the same length to the same fork, the
one parallel and the other perpendicular to the direction of vibration,
and stretching both with equal weights, when the fork is caused to
vibrate, one of them divides itself into twice the number of ventral
segments exhibited by the other.
[Illustration: FIG. 48.]
[Illustration: FIG. 49.]
A number of exquisite effects may be obtained with these vibrating
cords. The path described by any point of any one of them may be
studied, after the manner of Dr. Young, by illuminating that point,
and watching the line of light which it describes. This is well
illustrated by a flat burnished silver wire, twisted so as to form a
spiral surface, from which, at regular intervals, the light flashes
when the wire is illuminated. When the vibration is steady, the
luminous spots describe straight lines of sunlike brilliancy. On
slackening the wire, but not so much as to produce its next higher
subdivision, upon the larger motion of the wire are superposed a
host of minor motions, the combination of all producing scrolls of
marvellous complication and of indescribable splendor.
Public-domain text, read in full here on John Shaqi.
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