Hence it is obvious, that although the strength of a body of small
dimensions may greatly exceed its weight, and, therefore, it may be
able to support a load many times its own weight; yet by a great
increase in the dimensions the weight increasing in a much greater
degree the available strength may be much diminished, and such a
magnitude may be assigned, that the weight of the body must exceed its
strength, and it not only would be unable to support any load, but
would actually fall to pieces by its own weight.
The strength of a structure of any kind is not, therefore, to be
determined by that of its model, which will always be much stronger in
proportion to its size. All works natural and artificial have limits
of magnitude which, while their materials remain the same, they cannot
surpass.
In conformity with what has just been explained, it has been observed,
that small animals are stronger in proportion than large ones; that the
young plant has more available strength in proportion than the large
forest tree; that children are less liable to injury from accident
than men, &c. But although to a certain extent these observations are
just, yet it ought not to be forgotten, that the mechanical conclusions
which they are brought to illustrate are founded on the supposition,
that the smaller and greater bodies which are compared are composed
of precisely similar materials. This is not the case in any of the
examples here adduced.
CHAP. XXI.
ON BALANCES AND PENDULUMS.
(335.) The preceding chapters have been confined almost wholly to
the consideration of the laws of mechanics, without entering into a
particular description of the machinery and instruments dependant upon
those laws. Such descriptions would have interfered too much with the
regular progress of the subject, and it therefore appeared preferable
to devote a chapter exclusively to this portion of the work.
Perhaps there are no ideas which man receives through the medium of
sense which may not be referred ultimately to matter and motion. In
proportion, therefore, as he becomes acquainted with the properties
of the one and the laws of the other, his knowledge is extended, his
comforts are multiplied; he is enabled to bend the powers of nature to
his will, and to construct machinery which effects with ease that which
the united labour of thousands would in vain be exerted to accomplish.
Of the properties of matter, one of the most important is its weight,
and the element which mingles inseparably with the laws of motion is
time.
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