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
But this arrangement of rotating pendulums may be extended so as to
include other features. To eliminate or in a manner replace the
influence of gravitation, and to preserve the energy of position of the
system--relative to the earth's surface--at a constant value, the
pendulum arms may be assumed to be duplicated or extended to the points
K and R (Fig. 10) respectively, where pendulum masses equal to M and
M{1} are attached.
The arms MK and M{1}R are thus continuous. Each arm is assumed to be
pivoted at its middle point about a horizontal axis through N, and as
the lower masses M and M{1} rise in the course of the rotatory movement
about AB the upper masses K and R will fall by corresponding amounts.
The total energy of position of the system--referred to the earth's
surface--thus remains constant whatever may be the position of the
masses in the system. The restraining influence on the movement of the
masses, formerly exercised by gravitation, is now furnished by means of
a central spring F. A collar CD, connected as shown to the pendulum
arms, slides on the spindle AB and compresses this spring as the masses
move towards the horizontal level HL. As the masses return towards A and
B the spring is released.
[Illustration: FIG. 10]
If energy be applied to the system, so that it is caused to rotate about
the central axis AB, the pendulum masses will tend to move outwards from
that axis. Their movement may be said to be carried out over the surface
of an imaginary sphere with centre on AB at N. The motion of the masses,
as the velocity of rotation increases, is from the region of lower
peripheral velocity, in the vicinity of the axis AB, to the regions of
higher velocity, in the neighbourhood of H and L. This outward movement
from the central axis towards H and L is representative of a
transformation of energy of an exactly similar nature to that described
above in the simple case. Part of the original energy of rotation of the
system is now stored in the pendulum masses in virtue of their new
position of displacement. But in this case, the movement is made, not
against gravity, but against the central spring F. The energy, then,
which in the former case might be said to be stored against gravitation
(acting as an invisible spring) is in this case stored in the form of
energy of strain or cohesion (§ 15) in the central spring, which thus as
it were takes the place of gravitation in the system. As in the previous
case also, the operation is a reversible energy process. If the pendulum
masses move in the opposite direction from the regions of higher
velocity to those of lower velocity, the energy stored in the spring
will be returned to the system in its original form of energy of motion.
A vibratory motion of the pendulums to and from the central axis would
thus be productive of an alternate storage and return of energy. It is
obvious also, that due to the action of centrifugal force, the pendulum
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