The problem of a rotating incompressible disk

Author:

Clark G. L.

Abstract

In this paper an investigation is made of the properties of material which is under isotropic stress p when in a strained state, and is such that the relation between the stress and the dilatation Δ iswhere α is the density, assumed constant in the unstrained state, and c is the velocity of light. It is shown that in this material the waves of dilatation travel with the velocity of light and that a disk or cylinder composed of this kind of matter suffers no change in radius when it is made to rotate.It is suggested that it is not unreasonable to attach the label incompressible to matter having these properties.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A practical proposal for the experimental study of Born rigid motions;Il Nuovo Cimento B Series 11;1974-10

2. Solution of ehrenfest’s paradox for a relativistic rotating disk;Il Nuovo Cimento B Series 10;1968-02

3. The relativistically rigid rod;Mathematical Proceedings of the Cambridge Philosophical Society;1952-10

4. Space-time on the rotating disk;Mathematical Proceedings of the Cambridge Philosophical Society;1951-01

5. The relativistic mass of a rotating cylinder;Mathematical Proceedings of the Cambridge Philosophical Society;1951-01

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