The Phenomena of the Gyroscope Analytically Examined With Two Supplements On T
The Phenomena of the Gyroscope Analytically Examined With Two Supplements On T
J G John Gross Barnard
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To become cos z= cos a. * The integration may be effected by the use of elliptic functions: but the pro- cees is of no interest in this discussion. f It is easy to show that this value of 6 belongs to an actual minimum ; but it is f?carcely worth while to introduce the proof. J. G. BARNARD ON THE GYROSCOPE. 545 That is, when the impressed velocity n, and in consequence ^ is very great, the minimum value of 6 differs from its maximum a by an exceedingly minute quantity. Here then is the result, ...analytically found, which so surprises the observer, and for which an explanation has been so much sought and so variously given. The r ev olvin^y bo dy, though m ^ solicited by gravity, does not visibl y fall. 1 1 \^^'-^^'^5> Knowing this fact, we may assume that the impressed velocity n is very great, and hence cos
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