A treatise on gyrostatics and rotational motion . e centre of the infinitely small circle, corresponding tothe passage of the axis from the small circle to the lower circle, and back again to thesmall circle, is therefore 2ir + 7iu;b~n2, which, whether a > or < 0, agrees with the diagramfor the stable cases given in Fig. 28. The angle between the directions of two successivelines of leaving the small circle is ira b2n2. Note.—In addition to the diagrams of path given from time to time in the foregoingchapters, other possible curves will be included in the chapter on Methods of Calculatio


A treatise on gyrostatics and rotational motion . e centre of the infinitely small circle, corresponding tothe passage of the axis from the small circle to the lower circle, and back again to thesmall circle, is therefore 2ir + 7iu;b~n2, which, whether a > or < 0, agrees with the diagramfor the stable cases given in Fig. 28. The angle between the directions of two successivelines of leaving the small circle is ira b2n2. Note.—In addition to the diagrams of path given from time to time in the foregoingchapters, other possible curves will be included in the chapter on Methods of Calculationand Quadrature. CHAPTER VII GYROSTATS AND VARIOUS PHYSICAL APPLICATIONS OF GYROSTATS 1. (Il/rosfatM. Before proceeding further with the more abstract theoryof a top. it will be useful perhaps to give an account of gyrostats and of-Hie of their applications. The theory of a gyrostat differs from that ofan ordinary symmetrical top, inasmuch as the motion of the case or framewhich encloses the flywheel of the gyrostat must be taken into


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