The Theory of the Relativity of Motion |
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acceleration axes axis Chapter charge classical mechanics clocks collision components conservation of mass consider corresponding define definite dielectric direction dynamics elastic body electric electron emission theory equal equations of motion ether theory evident experiment force acting four-dimensional fundamental equation hence hohlraum inner product k₁ k₂ kinematical kinetic energy kinetic potential Lagrangian least action Lorentz transformation magnetic field magnitude measured in system Michelson-Morley experiment moving particle moving past Newton Newtonian mechanics observer obtain one-vector outer product position postulate of relativity potential energy principle of least quantity radius vector relation relative motion respect space stationary ether strain substitutions system of coördinates system of particles t₁ temperature tensor theory of relativity thermodynamic system tion tonian transformation equations u2 c² unit vectors unit volume V2 c² velocity of light write zero θφι ән ди дфі дх
Popular passages
Page 62 - Every body continues in its state of rest, or of uniform motion in a straight line, unless it is compelled to change that state by forces impressed upon it.
Page 21 - The second is that the velocity of light in free space appears the same to all observers regardless of the relative motion of the source of light and the observer.
Page 45 - The second fundamental generalization made by Einstein he calls " the law of the constancy of light velocity/' It states that the velocity of light in free space appears the same to all observers, regardless of the motion of the source of light or of the observer. These two laws taken together constitute the principle of relativity. They generalize a number of experimental facts, and are inconsistent with none.
Page 29 - This experimental discovery destroyed the inference, seemingly so plain and inescapable, which had been drawn from the fact that the velocity of light is independent of the velocity of its source.
Page 19 - The velocity of light is independent of the velocity of the source. The third and last premise (F3), which we shall need states: The velocity of light does not depend on the velocity of the source.
Page 157 - ... individuals often memorize the appropriate definitions without really understanding the physical basis for them. In later chapters we shall often need the entropy concept as a working tool in the study of crystal properties, so it should be properly understood. According to Boltzmann, there is a relationship between the entropy of a system in a given state and the probability of existence of the given state. He suggested that it might be possible to calculate the probability of different states...
Page 93 - Lagrangian function for a system of particles was defined as the difference between the kinetic and potential energies of the system. The...
Page 99 - Pn) = h, and this is the integral of energy, which is possessed by the dynamical system when the function H does not involve the time explicitly. For natural problems, it follows at once from § 41 that H is the sum of the kinetic and potential energies of the system. Example. Shew that the equations of motion of the simple pendulum are...
Page 90 - Eq. (14.32) expresses that the sum of the linear impulses of the external forces acting on the system is equal to the change in linear momentum of the system.
Page 2 - In particular we shall now do well to change our concepts of space and time in such a way as to give up the old idea of their complete independence, a notion which we have received as the inheritance of a long ancestral experience with bodies moving with slow velocities, but which no longer proves pragmatic when we deal with velocities approaching that of light.