The Theory of Screws; A Study in the Dynamics of a Rigid Body
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The Theory of Screws; A Study in the Dynamics of a Rigid Body

The Theory of Screws; A Study in the Dynamics of a Rigid Body


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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1876 edition. Excerpt: ...of the component of the resultant wrench on wn--Hence the co-ordinates of the resultant wrench are proportional to--6"0i + p"ti 6"0& + p"t6 For equilibrium this screw must be reciprocal to a, whence we have--/iai(rai + ffr) + &c. + iW(0"06 + = o, or, fl"""fl + tf"w = o. This equation merely expresses that the sum of the works done in a small twist about a against the wrenches on 0 and p is zero. We also perceive that a given wrench may be always replaced by a wrench of appropriate intensity on any other screw, in so far as the effect on a body only free to twist about a is concerned. It may not be out of place to notice the analogy which the equation just written bears to the simple problem of the determination of the condition that two forces should be unable to disturb the equilibrium of a particle only free to move on a straight line. If P, Q be the two forces, and if /, m be the angles which the forces make with the direction in which the particle can move, then the condition is--P cos I + Q cos m = o. This suggests what it will be well for the reader constantly to bear in mind, and that is, the analogy which subsists between the virtual co-efficient of two screws, and the cosine of the angle between two lines. 82. Particular Case.--If a body having freedom of the first order be in equilibrium under the action of gravity, then the vertical through the centre of inertia must lie in the plane of reciprocal screws of zero pitch, drawn through the centre of inertia. 83. Impulsive Forces.--If a wrench of great intensity rj" act for a short time on the screw rj, while the body is only permitted to twist about a, then we have seen in 60 how the twist...


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Product Details
  • ISBN-13: 9781154970500
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 54
  • Spine Width: 3 mm
  • Width: 189 mm
  • ISBN-10: 1154970507
  • Publisher Date: 20 May 2014
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 113 gr


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