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Journal of the Association of Engineering Societies (1881)

Association of Engineering Societies (U.S.) · New York, [etc.] Board of Managers · leaf 69

An illustration from Journal of the Association of Engineering Societies, 1881, leaf 69
FORCES DUE TO ECCENTRIC WEIGHTS ATTACHED TO ROLLING WHEELS. By Calvin M. Woodward. Presented to the Engineers' Club of St. Louis, May 17, 1905. I. The Action upon a Horizontal Track of a Heavy Mass attached to rlgid rolling wheel. Let R be the radius of the rolling wheel, and let P be the center of… … radius of curvature is Fig. easily shown to be (1) R cos </> — r The linear velocity of P is v = wr, and its^tangential accelera- tion is dv wdr dt dt But, R2 = R2 4. n2R2 — 2nR2 cos 6 ; hence, nR2 sin 6 d$ dr = - and since dd dt we have the tangential acceleration dv w2nR2 sin 8 = w2R sin (p. (2)…

Engineering

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