Scientific American Supplement, No. 447, July 26, 1884Various
Science
Scientific American Supplement, No. 447, July 26, 1884
Various
Science -- Periodicals
Suppose A B to be our pendulum-bearing rod, placed (for convenience of
description merely) in a north and south position. Then it is clear that
A B produced meets the polar axis produced (in E, suppose), and when,
owing to the earth's rotation, the rod has been carried to the position
A' B', it still passes through the point E. Hence it has shifted through
the angle A E A', a motion which corresponds to the case of the motion
of A B (in Fig. 1) about the point E,[1] and the plane of the pendulum's
swing will therefore show a displacement equal to the angle A E A'. It
will be at once seen that for a given arc of rotation the displacement
is smaller in this case than in the former, since the angle A E A' is
obviously less than the angle A K A'.[2] In our latitude a free pendulum
should seem to shift through one degree in about five minutes.
[Footnote 1: In reality A E moves to the position A' E over the surface
of a cone having E P' as axis, and E as vertex; but for any small part
of its motion, the effect is the same as though it traveled in a plane
through E, touching this cone; and the sum of the effects should clearly
be proportioned to the sum of the angular displacements.]
[Footnote 2: In fact, the former angle is less than the latter, in the
same proportion that A K is less than A E, or in the proportion of the
sine of the angle A E P, which is obviously the same as the sine of the
latitude.]
It is obvious that a great deal depends on the mode of suspension. What
is needed is that the pendulum should be as little affected as possible
by its connection with the rotating earth. It will surprise many,
perhaps, to learn that in Foucault's original mode of suspension the
upper end of the wire bearing the pendulum bob was fastened to a metal
plate by means of a screw. It might be supposed that the torsion of
the wire would appreciably affect the result. In reality, however, the
torsion was very small.
[Illustration: Fig. 2.]
Still, other modes of suspension are obviously suggested by the
requirements of the problem. Hansen made use of the mode of suspension
exhibited in Fig. 3. Mr. Worms, in a series of experiments carried out
at King's College, London, adopted a somewhat similar arrangement, but
in place of the hemispherical segment he employed a conoid, as shown in
Fig. 4, and a socket was provided in which the conoid could work freely.
From some experiments I made myself a score of years ago, I am inclined
to prefer a plane surface for the conoid to work upon. Care must be
taken that the first swing of the pendulum may take place truly in one
plane. The mode of liberation is also a matter of importance.
[Illustration: Fig.3.]
Public-domain text, read in full here on John Shaqi.
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