Letters on Astronomy: in which the Elements of the Science are Familiarly Explained in Connection with Biographical Sketches of the Most Eminent AstronomersOlmsted, Denison
Science
Letters on Astronomy: in which the Elements of the Science are Familiarly Explained in Connection with Biographical Sketches of the Most Eminent Astronomers
Olmsted, Denison
Astronomy
Fourthly, a body in motion will move in a _straight line_, unless
diverted out of that line by some external force; and the body will
resume its straight-forward motion, whenever the force that turns it
aside is withdrawn. Every body that is revolving in an orbit, like the
moon around the earth, or the earth around the sun, _tends_ to move in a
straight line which is a tangent[7] to its orbit. Thus, if A B C, Fig.
28, represents the orbit of the moon around the earth, were it not for
the constant action of some force that draws her towards the earth, she
would move off in a straight line. If the force that carries her towards
the earth were suspended at A, she would immediately desert the circular
motion, and proceed in the direction A D. In the same manner, a boy
whirls a stone around his head in a sling, and then letting go one of
the strings, and releasing the force that binds it to the circle, it
flies off in a straight line which is a tangent to that part of the
circle where it was released. This tendency which a body revolving in an
orbit exhibits, to recede from the centre and to fly off in a tangent,
is called the _centrifugal force_. We see it manifested when a pail of
water is whirled. The water rises on the sides of the vessel, leaving a
hollow in the central parts. We see an example of the effects of
centrifugal action, when a horse turns swiftly round a corner, and the
rider is thrown outwards; also, when a wheel passes rapidly through a
small collection of water, and portions of the water are thrown off from
the top of the wheel in straight lines which are tangents to the wheel.
[Illustration Fig. 28.]
The centrifugal force is increased as the velocity is increased. Thus,
the parts of a millstone most remote from the centre sometimes acquire a
centrifugal force so much greater than the central parts, which move
much slower, that the stone is divided, and the exterior portions are
projected with great violence. In like manner, as the equatorial parts
of the earth, in the diurnal revolution, revolve much faster than the
parts towards the poles, so the centrifugal force is felt most at the
equator, and becomes strikingly manifest by the diminished weight of
bodies, since it acts in opposition to the force of gravity.
Although the foregoing law of motion, when first presented to the mind,
appears to convey no new truth, but only to enunciate in a formal manner
what we knew before; yet a just understanding of this law, in all its
bearings, leads us to a clear comprehension of no small share of all the
phenomena of motion. The second and third laws may be explained in fewer
terms.
The SECOND LAW of motion is as follows: _motion is proportioned to the
force impressed, and in the direction of that force_.
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