On the stability of a spinning top containing liquid
1959; Cambridge University Press; Volume: 5; Issue: 04 Linguagem: Inglês
10.1017/s0022112059000404
ISSN1469-7645
Autores Tópico(s)Structural Analysis and Optimization
ResumoThe stability of a heavy top, containing a cylindrical cavity partly full of liquid, for small displacements from the sleeping position is studied. It is shown theoretically that instability can occur when any one of the periods of free oscillation of the liquid, which are doubly infinite in number, is sufficiently near to the period of nutation of the empty top. In experiments carried out by Prof. Ward, only the two principal instabilities could be distinguished.
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