It is obvious that the same observations may be applied to all figures
whatever, the conclusions just deduced depending only on the distance
of the line of direction from the edge of the base, and the height of
the centre of gravity above it.
(166.) Hence we may perceive the principle on which the stability of
loaded carriages depends. When the load is placed at a considerable
elevation above the wheels, the centre of gravity is elevated, and the
carriage becomes proportionally insecure. In coaches for the conveyance
of passengers, the luggage is therefore sometimes placed below the body
of the coach; light parcels of large bulk may be placed on the top with
impunity.
When the centre of gravity of a carriage is much elevated, there is
considerable danger of overthrow, if a corner be turned sharply and
with a rapid pace; for the centrifugal force then acting on the centre
of gravity will easily raise it through the small height which is
necessary to turn the carriage over the external wheels (142).
(167.) The same waggon will have greater stability when loaded with
a heavy substance which occupies a small space, such as metal, than
when it carries the same weight of a lighter substance, such as hay;
because the centre of gravity in the latter case will be much more
elevated.
[Illustration: _H. Adlard, sc._
_London, Pubd. by Longman & Co._]
If a large table be placed upon a single leg in its centre, it will
be impracticable to make it stand firm; but if the pillar on which it
rests terminate in a tripod, it will have the same stability as if it
had three legs attached to the points directly over the places where
the feet of the tripod rest.
(168.) When a solid body is supported by more points than one, it is
not necessary for its stability that the line of direction should fall
on one of those points. If there be only two points of support, the
line of direction must fall between them. The body is in this case
supported as effectually as if it rested on an edge coinciding with a
straight line drawn from one point of support to the other. If there
be three points of support, which are not ranged in the same straight
line, the body will be supported in the same manner as it would be by
a base coinciding with the triangle formed by straight lines joining
the three points of support. In the same manner, whatever be the
number of points on which the body may rest, its virtual base will be
found by supposing straight lines drawn, joining the several points
successively. When the line of direction falls within this base, the
body will always stand firm, and otherwise not. The degree of stability
is determined in the same manner as if the base were a continued
surface.
Public-domain text, read in full here on John Shaqi.
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