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Elementary Statics

Elementary Statics


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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. 1888 Excerpt: ...shifted until a point O is found, at which the steelyard balances when no article at all is in the scale-pan. Now suppose a weight of n lbs. to be placed in the scale-pan. Let the ring D be shifted to a point Qn at which it is found that the steelyard balances. N Then we have a force of - lbs. acting vertically downwards on the steelyard at A, a force of M lbs. acting verti cally downwards at G and a force of P lbs. acting vertically downwards at Qn. These three forces are supported by a vertical force upwards at C. Taking moments about C we have nxAC+MxGC-Px C2n = o (i). But by our first experiment we have Mx GC-PxOC=o (ii);... putting P x OC for Mx GC in (i), we have nxAC+Px CO-Px CQn = o, that is P(CQn-CO) = ny.AC, or PxOQn = nxAC, AC Suppose now that n = 1; then OQ, =-=-;.-. to find Qu for n lbs., we have OQn = n x OQr That is, in order to graduate a steelyard to weigh lbs., we must find by trial the point O of zero graduation, and L. s. 9 also by a second trial the point Ql for 1 lb., and mark their positions on the rod. Next we find by measurement points 2, Qa, (?4, etc-such that OQl = QlQa= QaQ3, and so on, and engrave on the rod the numbers 2, 3, 4, etc. at those points. Then, when an article weighing a number of lbs. say 4, is placed in the scale-pan, the steelyard balances when the ring is at the point on the rod which is marked 4. Note.--The student should observe that if the lengths OQv Q1Q, ... be each subdivided into any number of equal parts, say 16, then the steelyard is graduated for sixteenths of a lb. 161. The Danish steelyard. The Danish steelyard consists of a lever AB whose fulcrum' C is moveable. 1 1 11 At one end A is a lump of metal, and at the other B, a hook or scale-pan. The weight of an article placed in the scale-pan ...


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Product Details
  • ISBN-13: 9781152646667
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 62
  • Spine Width: 3 mm
  • Width: 189 mm
  • ISBN-10: 1152646664
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 127 gr

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