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Analysis of Rotary Motion; As Applied to the Gyroscope

Analysis of Rotary Motion; As Applied to the Gyroscope


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About the Book

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1887 edition. Excerpt: ...But the identity is not easily indicated; for the earth's motion of nutation is mainly governed by the moon, with whose cycles it coincides; and the solar and lunar precessions and nutations are so combined, and affected by causes which do not enter into our problem, that it is vain to attempt any minute identification of the phenomena, without reference to the difficult analysis of celestial mechanics. On a preceding page I said that a horizontal motion of the rotating disk around its point of support, without descending undulations, was at variance with the laws of nature. This assertion applied, however, only to the actual problem in hand, in which no other external force than gravity was considered, and no other initial velocity than that of axial rotation. Analysis shows, however, that an initial impulse may be applied to the rotating disk in such a way that the horizontal motion shall be absolutely without undulation. An initial horizontal angular velocity, such as would make its corresponding deflective force equal to the component of gravity, g sin. 9, would cause a horizontal motion without undulation. If the axial rotation n, as well as the horizontal rotation, is communicated by an impulsive force, analysis shows that it may be applied in any plane intersecting the horizontal plane in the line of nodes; but if applied in the plane of the equator (where it can communicate nothing but an axial rotation n), or in the horizontal plane, its intensity must be infinite. My announced object does not carry me further into the consideration of the gyroscope than the solution of this peculiar phenomenon, which depends solely upon, and is so illustrative of, the laws of rotary motion. If I have been at all successful in making this so often...


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Product Details
  • ISBN-13: 9781154574944
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 18
  • Spine Width: 1 mm
  • Width: 189 mm
  • ISBN-10: 1154574946
  • Publisher Date: 08 Jul 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 54 gr


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