A View of Sir Isaac Newton's PhilosophyPemberton, Henry
Science
A View of Sir Isaac Newton's Philosophy
Pemberton, Henry
Newton, Isaac, 1642-1727. Principia
Thus it is the proper deduction from this experiment,
that the power of gravity acts not on the surface of bodies only, but
penetrates the bodies themselves most intimately, and operates alike
on every particle of matter in them. But as the great quickness, with
which the bodies fall, leaves it something uncertain, whether they do
descend absolutely in the same time, or only so nearly together, that
the difference in their swift motion is not discernable to the eye;
this property of the power of gravity, which has here been deduced from
this experiment, is farther confirmed by pendulums, whose motion is
such, that a very minute difference would become sufficiently sensible.
This will be farther discoursed on in another place[52]; but here I
shall make use of the principle now laid down to explain the nature of
what is called the center of gravity in bodies.
25. THE center of gravity is that point, by which if a body be
suspended, it shall hang at rest in any situation. In a globe of a
uniform texture the center of gravity is the same with the center of
the globe; for as the parts of the globe on every side of its center
are similarly disposed, and the power of gravity acts alike on every
part; it is evident, that the parts of the globe on each side of the
center are drawn with equal force, and therefore neither side can
yield to the other; but the globe, if supported at its center, must
of necessity hang at rest. In like manner, if two equal bodies A and
B (in fig. 13.) be hung at the extremities of an inflexible rod C D,
which should have no weight; these bodies, if the rod be supported at
its middle E, shall equiponderate; and the rod remain without motion.
For the bodies being equal and at the same distance from the point of
support E, the power of gravity will act upon each with equal strength,
and in all respects under the same circumstances; therefore the weight
of one cannot overcome the weight of the other. The weight of A can no
more surmount the weight of B, than the weight of B can surmount the
weight of A. Again, suppose a body as A B (in fig. 14.) of a uniform
texture in the form of a roller, or as it is more usually called a
cylinder, lying horizontally. If a straight line be drawn between C and
D, the centers of the extreme circles of this cylinder; and if this
straight line, commonly called the axis of the cylinder, be divided
into two equal parts in E: this point E will be the center of gravity
of the cylinder. The cylinder being a uniform figure, the parts on each
side of the point E are equal, and situated in a perfectly similar
manner; therefore this cylinder, if supported at the point E, must hang
at rest, for the same reason as the inflexible rod above-mentioned
will remain without motion, when suspended at its middle point. And it
is evident, that the force applied to the point E, which would uphold
the cylinder, must be equal to the cylinder’s weight. Now suppose two
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