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An elementary treatise on analytic mechanics : With numerous examples (1912)

Bowser, Edward A. (Edward Albert), 1845-1910 · New York : D. Van Nostrand · leaf 234

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action of three forces viz., Puacting vertically, T19 the tension of the cord AQ19 and T2,the tension of Qt Q2. Resolving these forces we have, for horizontal forces, Tx cos Bt — T2 cos 62 = 0, (1) for vertical forces, Pt + T2 sin 62 — Tt sin (?, = 0, {%) In the same way for the point Q2 we have,… … EQUILIBRIUM OF THE FUNICULAR POLYGON. 217 Hence from (1) and (3) we have Tt cos 0j = T2 cos 02 = Tz cos 03 = etc., that is, the horizontal components of the tensions in the dif-ferent portions of the cord are constant. Let this constantbe denoted by T; then we have T T T rp ■*- . rp • T • etc., 1…

Mechanics, Analytic

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