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matter and motion

by Maxwell James Clerk

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Author: Maxwell James Clerk

Professional & Technical » Professional Science » Astronomy

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This is a study of Newtonian dynamics made by James Clerk Maxwell in his best traditions of research and experiment. Matter and Motion is often recognized as one of the best introductions to the study of dynamics. While the first chapters are devoted to the motion of particles, the last chapters are focused on the motion of whole systems. Maxwell also includes his chapter called "On the Equation of Motion of a Connected System" from Volume II of Electricity and Magnetism to Matter and Motion. Besides, the study of relativity motion is also included in this thorough guide into dynamics.

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...and join kb, it is easy to show that kb is equal and parallel to A 2 B 2 . For^the vector kb is the sum of the vectors ka, ao, and ob, and A 2 B 2 is_the sum of A 2 A t, A^B lt and B t B 2 . But of these ka is the same as A-^B^ ao is the same as A 2 A ly and ob is the same as B^B 2t and by Article 10 the order of summation is indifferent, so that the vector kb is the same, in direction and magni- tude, as A 2 B 2 . Now ka or A^ represents the original position of B with respect to A, and kb or A 2 B 2 represents the final position of B with respect to A. Hence ab represents the displacement of B with respect to A, which was to be proved. In Article 20 we purposely omitted to say whether the origin to which the original configuration was referred, and that to which the final configuration is referred, are absolutely the same point, or whether, during the displacement of the system, the origin also is displaced. We may now, for the sake of argument, suppose that the origin is absolutely...

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