Hostname: page-component-5c6d5d7d68-xq9c7 Total loading time: 0 Render date: 2024-08-21T22:11:16.696Z Has data issue: false hasContentIssue false
  • English
  • Français

The problem of a rotating incompressible disk

Published online by Cambridge University Press:  24 October 2008

G. L. Clark
G. L. Clark
Affiliation:
Trinity CollegeCambridge
Get access Rights & Permissions [Opens in a new window]

Extract

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 is

where 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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 45 , Issue 3 , July 1949 , pp. 405 - 410
Copyright
Copyright © Cambridge Philosophical Society 1949

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Clark, G. L.Proc. Roy. Soc. Edinburgh, 62 A (1947–8), part iv.Google Scholar
(2)Lorentz, H. A.Nature, London, 106 (1917), 795.Google Scholar
Lorentz, H. A.Collected papers (7) (1934), p. 171.Google Scholar
Berenda, C. W.Phys. Rev. 2nd series, 62 (1942), 280.CrossRefGoogle Scholar
Seyvan, Shu.Critical studies on the theory of relativity (Princeton, 1945).Google Scholar
(3)Eddington, A. S.Mathematical theory of relativity (Cambridge, 1924), §50.Google Scholar
(4)Clark, G. L.Proc. Cambridge Phil. Soc. 43 (1947), 164.CrossRefGoogle Scholar