Lord Kelvin: An account of his scientific life and workGray, Andrew
Science
Lord Kelvin: An account of his scientific life and work
Gray, Andrew
Kelvin, William Thomson, Baron, 1824-1907
Returning to the difficulty of the elastic solid theory, that while its
rigidity is enormous, it offers no obstacle to the planets and other
heavenly bodies which move through it, it may be interesting to recall
how Lord Kelvin used to deal with it in his elementary lectures. The
same discussion was given in the Introductory Lecture at Baltimore. The
difficulty is not got over by an explanation of what takes place: it is
turned by showing that a similar difficulty exists in reconciling
phenomena which can be observed every day with such ordinary materials
as pitch or shoemakers' wax. A piece of such wax can be moulded into a
tuning-fork or a bell, and will then, if struck, sound a musical note of
definite pitch. This indicates, for rapidly alternating deformations
started by a force of short duration, the existence of internal forces
of the kind called elastic, that is, depending on the amount of
deformation caused, not on the rate at which the deformation is
increasing or diminishing, as is the case for the so-called "viscous
forces" which are usually displayed by such material. But the
tuning-fork or bell, if left lying on the table, will gradually flatten
down into a thin sheet under only its own weight. Here the deformation
is opposed only by viscous forces, which, as the change is very slow,
are exceedingly small.
But let a large slab of it, three or four inches thick, be placed in a
glass jar ten or twelve inches in diameter, already partly filled with
water, and let some ordinary corks be imprisoned beneath, while some
lead bullets are laid on the upper surface. After a month or two it will
be found that the corks have disappeared from the water into the wax,
and that the orifices which they made in entering it have healed up
completely; similarly the bullets have sunk down into the slab, leaving
no trace behind. After two or three months more, the corks will be seen
to be bursting their way out through the upper surface of the slab, and
the bullets will be found in the water below. The very thing has taken
place that would have happened if water had been used instead of pitch,
only it has taken a very much longer time to bring it about. The corks
have floated up through the wax in consequence of hydrostatic upward
force exerted by the wax acting as a fluid; and the bullets have sunk
down in consequence of the excess of their weights above the upward
hydrostatic force exerted on them as on the corks. The motion in both
cases has been opposed by the viscous forces called into play.
Public-domain text, read in full here on John Shaqi.
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