Does a rod, pushed by a force, accelerate less than the same rod pulled by the same force?
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Medicine
Link
http://link.springer.com/content/pdf/10.1007/BF02710185.pdf
Reference6 articles.
1. C. Møller:The Theory of Relativity, IV edition, Sect.29 (Oxford, 1960), p. 75.
2. M. Born:Ann. der Phys.,30, 840 (1909). Notice that thematerial of the rod can in no way be rigid, though themotion can be rigid, either by applying a convenient force distribution or by a constant force applied from infinite time, like in our problem. For the material with the maximum degree of rigidity in agreement with the requirements of special relativity, see, for example:G. Cavalleri:Nuovo Cimento,53 B, 415 (1968), where also a rotatory motion is considered.
3. If a single inertial observer is considered, the rigidity criterion, as formulated byG. Herglotz Ann. der Phys.,31, 393 (1910) states: for each pair of nearby particles of the body, the orthogonal interval between the corresponding pair of world lines is constant during the motion. The orthogonal interval is the distance between the two world lines, measured along an infinitesimal hyperplane, orthogonal to both lines in the sense of four dimensions, and calculated with the line element of space-time.
4. See for exampleC. Møller:The Theory of Relativity, IV edition, Sect.65–67 (Oxford, 1960).
5. G. Cavalleri andG. Salgarelli:Nuovo Cimento,62 A, 722 (1969).
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