A treatise on gyrostatics and rotational motion . distance of the XV THE SPHERICAL PENDULUM 33] fixed point from the centroid. It we write I for the length of the simple pendulumequivalent to the compound pendulum formed by the top or gyroscope turning about ;ihorizontal axle at the fixed point, we have / (£a+aa) a, and therefore ii- R=q cos e + -2,.,~ gOCOS0 + 2H,, , . gcoaQ—J—I - -, ? ,(3) The problem of the spherical pendulum and of the raoti f a particle on a surface of revolution is of much interest, and more space lias been given to it here than is perhapsconsistent with the plan of this
A treatise on gyrostatics and rotational motion . distance of the XV THE SPHERICAL PENDULUM 33] fixed point from the centroid. It we write I for the length of the simple pendulumequivalent to the compound pendulum formed by the top or gyroscope turning about ;ihorizontal axle at the fixed point, we have / (£a+aa) a, and therefore ii- R=q cos e + -2,.,~ gOCOS0 + 2H,, , . gcoaQ—J—I - -, ? ,(3) The problem of the spherical pendulum and of the raoti f a particle on a surface of revolution is of much interest, and more space lias been given to it here than is perhapsconsistent with the plan of this work. The reader will find the elliptic function aspectof tin subject studied very fully, with a wealth of results, in Greenhills Report onGyroscopic 7%< ory. APPENDIX TO CHAPTEB XV hi Figures 87, 89 are shown reproductions of photographs of curves actually describedby the bob of a spherical pendulum, in experiments made by Professor A. G. Webster, ofWorcester, Mass. A small glow lamp was attached to a brass ball which formed the bob.
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