Elements of Natural Philosophy
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In our eReader you can find the full English version of the book. Read Elements of Natural Philosophy Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Elements of Natural Philosophy
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According to the unit generally adopted, the action of a system which has not varied in its kinetic energy, is twice the amount of the energy multiplied by the time from the epoch. Or if the energy has been sometimes greater and sometimes less, the action at time f is the double of what we may call the time-integral of the energy; that is to say, the action of a system is equal to the sum of the average momenta for the spaces described by the particles from any era each multiplied by the length... of its path.
280. The principle of Least Action is this : — Of all the different sets of paths along which a conservative system may be guided to move from one configuration to another, with the sum of its potential 1 Phil. Trans. , 1834— 1S35.
94 PRELIMINARY.
and kinetic energies equal to a given constant, that one for which the action is the least is such that the system will require only to be started with the proper velocities, to move along it unguided.
281. [In any unguided motion whatever, of a conservative system, the Action from any one stated position to any other, though not necessarily a minimum, fulfils the stationary condition, that is to say, the condition that the variation vanishes, which secures either a minimum or maximum, or maximum-minimum.
What to read after Elements of Natural Philosophy?
You can find similar books in the "Read Also" column, or choose other free books by William Thomson Kelvin to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
According to the unit generally adopted, the action of a system which has not varied in its kinetic energy, is twice the amount of the energy multiplied by the time from the epoch. Or if the energy has been sometimes greater and sometimes less, the action at time f is the double of what we may call the time-integral of the energy; that is to say, the action of a system is equal to the sum of the average momenta for the spaces described by the particles from any era each multiplied by the length... of its path.
280. The principle of Least Action is this : — Of all the different sets of paths along which a conservative system may be guided to move from one configuration to another, with the sum of its potential 1 Phil. Trans. , 1834— 1S35.
94 PRELIMINARY.
and kinetic energies equal to a given constant, that one for which the action is the least is such that the system will require only to be started with the proper velocities, to move along it unguided.
281. [In any unguided motion whatever, of a conservative system, the Action from any one stated position to any other, though not necessarily a minimum, fulfils the stationary condition, that is to say, the condition that the variation vanishes, which secures either a minimum or maximum, or maximum-minimum.
What to read after Elements of Natural Philosophy?
You can find similar books in the "Read Also" column, or choose other free books by William Thomson Kelvin to read onlineMoreLess
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