On the Motion of Points Constrained and Resisted, and on the Motion of a Rigid Body Volume 2; The Second Part of a New Edition of a Treatise on Dynamics
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Home > Law > Jurisprudence and general issues > On the Motion of Points Constrained and Resisted, and on the Motion of a Rigid Body Volume 2; The Second Part of a New Edition of a Treatise on Dynamics
On the Motion of Points Constrained and Resisted, and on the Motion of a Rigid Body Volume 2; The Second Part of a New Edition of a Treatise on Dynamics

On the Motion of Points Constrained and Resisted, and on the Motion of a Rigid Body Volume 2; The Second Part of a New Edition of a Treatise on Dynamics


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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. 1834 Excerpt: ...through the fixed point. Let C be the fixed point, and let P, Q, fig. 49, be any two points of the body in its first position, and p, q, the same two points in the next successive position. Since the body is rigid, all the points in the plane CPQ are in that plane in both positions of the body; for the same reason, all the points in the plane Cpq are in that plane in both the positions of the body. If therefore the line CO be the intersection of the planes CPQ, Cpq, all the points in the line CO in one position of the body will be in that line in the other position of the body; and therefore, the body may move out of one of these positions into the other by revolving above the line CO. Z 198. Prop. Any motion whatever may be resolved into a motion of translation and a motion of rotation. Let C be the situation of the centre of gravity, and P, Q, the situation of two other points in one position of the body; and let c, p, q be the situation of these points in the other position of the body; let the body move parallel to itself so that C comes to c; and let p', q be the positions to which P, Q are thus brought. Then by last Article the body may move out of the position c, p', q into the position c, p, q by a motion of rotation. Therefore the motion which was supposed to be any whatever, may be resolved as was asserted. 199. When a body revolves continually about the same fixed line, this is called a permanent axis. This axis may be merely a mathematical or imaginary line: the points where it meets the surface of the body are called poles. A body, while revolving, may change its axis of rotation, so as to revolve first about one line, and then about another. And we may suppose this change of the axis to be perpetually and gradually taking place; so that the bo...


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Product Details
  • ISBN-13: 9781130076165
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 60
  • Spine Width: 3 mm
  • Width: 189 mm
  • ISBN-10: 1130076164
  • Publisher Date: 01 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 127 gr


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On the Motion of Points Constrained and Resisted, and on the Motion of a Rigid Body Volume 2; The Second Part of a New Edition of a Treatise on Dynamics
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