The Energy System of Matter: A Deduction from Terrestrial Energy PhenomenaWeir, James, active 1883-1912
Science
The Energy System of Matter: A Deduction from Terrestrial Energy Phenomena
Weir, James, active 1883-1912
Force and energy
These processes will each be in continuous operation so long as the
motion of the pendulum is maintained. Their general nature is quite
independent of the extent of that motion, whether it be merely vibratory
through a small arc, or completely rotatory about the central axis. In
the articles which immediately follow, the processes will be treated
separately.
23. _Transformations of the Moving Pendulum--a. Energy of Motion to
Energy of Position and Vice Versa_
In this simple transformation the motion of the pendulum about the axis
of suspension may be either vibratory or circular, according to the
amount of energy externally applied. In each case, every periodic
movement of the apparatus illustrates the whole energy operation. The
general conditions of the process are almost identical with those in the
case of the upward movement of a mass against gravity (§ 20).
Gravitation is the incepting energy influence of the operation. If the
pendulum simply vibrates through a small arc, then, at the highest
points of its flight, it is instantaneously at rest. Its energy of
motion is here, therefore, zero; its energy of position is a maximum. At
the lowest point of its flight, the conditions are exactly reversed.
Here its energy of motion is a maximum, while its energy of position
passes through a minimum value. The same general conditions hold when
the pendulum performs complete revolutions about the central axis. If
the energy of motion applied is just sufficient to raise it to the
highest point E (Fig. 2), the mass will there again be instantaneously
at rest with maximum energy of position. As the mass falls downwards in
completing the circular movement, its energy of position once more
assumes the kinetic form, and reaches its maximum value at C (Fig. 2),
the lowest position. The moving pendulum mass, so far as its energy
properties are concerned, behaves in precisely the same manner as a body
vertically projected in the field of the gravitative attraction (§ 20).
This simple energy operation of the pendulum is perhaps one of the most
familiar of energy processes. By its means, however, it is possible to
illustrate certain general features of energy reactions of great
importance to the author's scheme.
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