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
The paths of the moving auxiliary masses have been considered, so far,
only as parallel to the surface of the sphere, but the general energy
conditions are in no way altered if they are assumed to have in addition
some motion normal to that surface; if, for example, they are repelled
from the surface as they approach the equatorial regions, and return
towards it once more as they approach the poles. Such a movement of the
masses normal to the spherical surface really corresponds to the
movement against the radial springs in the pendulum system; it would
now be made against the attractive or restraining influence of
gravitation, and a definite expenditure of energy would thus necessarily
be required to produce the displacement. Energy, formerly stored in the
springs, corresponds now to energy stored as energy of position (§ 20)
against gravitation. If this energy is obtained at the expense of the
inherent rotatory energy of the sphere, then its conversion in this
fashion into energy of position will again be productive of a definite
retardative effect on the revolution of the system. It is clear,
however, that if each mass descends to the surface level once more in
moving towards the poles, then in this operation its energy of position,
originally obtained at the expense of the rotatory energy of the sphere,
will be gradually but completely returned to that source. In a balanced
system, such as we have assumed above, the descent of one mass in
rotation would be accompanied by the elevation of another at a different
point; the abstraction and return of the energy of rotation would then
be equivalent, and would not affect the primary condition of uniformity
of rotation of the system. In the circumstances assumed, the whole
energy process which takes place in the movement of the masses from
poles to equator and normal to the spherical surface would obviously be
of a cyclical nature and completely reversible. It would be the working
of mechanical energy in a definite material machine, and in accordance
with the principles already outlined (§ 20) the maximum amount of
energy which can operate in this machine is strictly limited by the mass
of the material involved in the movement. The energy machine has thus a
definite capacity, and as the maximum energy operating in the reversible
cycle is assumed to be within this limit, the machine would be
completely stable in nature (§ 25). The movements of the auxiliary
masses have hitherto also been considered as taking place over somewhat
restricted paths, but this convention is one which can readily be
dispensed with. The general direction of motion of the masses must of
course be from equator to pole or vice versa; but it is quite obvious
that the exact paths pursued by the masses in this general motion is of
no moment in the consideration of energy return, nor yet the precise
region in which they may happen to be restored once more to the surface
level.
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