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Elements of natural philosophy (Volume 1) (1850)

Bartlett, W. H. C. (William Holms Chambers), 1804-1893 · New York : Barnes · leaf 249

An illustration from Elements of natural philosophy (Volume 1), 1850, leaf 249
t 0 during the very short interval t, succeeding theinstant at which the angular velocity is Vx, we shall have V, = — which, in the preceding equation, givess2 M.D Zgy,; whence square of thetime required todescribe a verysmall arc; t2 = I M.D 2gy/ Taking A if equal tounity, let GB 0 bethe arc… … MECHANICS OF SOLIDS. 245 one value for A B, and N Q perpendicular to ME: then, in the similartriangles A ME and MN Q, we have QN : EM :: MN : AM;and because J. if is unity, and MN is st, s = M E M the arc; But from the property of the circleEM =\J 2AB.EB - EB2 =\J 2EB - EB2, and if we take the arc…

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