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Elements of mechanics: treated by means of the differential and integral calculus (1887)

Peck, William G[uy], 1820-1892. [from old catalog] · New York, Chicago, A. S. Barnes & company · leaf 92

An illustration from Elements of mechanics: treated by means of the differential and integral calculus, 1887, leaf 92
Da represent the tension of therope, and Do the thrust on the pole. From Art. 35, we have, _. . n x . _„_. sin /3 t W : : sin p : sin a ; \ t = W ——— sin a STABILITY. We have, also, from the same principle,p : W: : sin(a + /3) ; sin a ; /. p = W 87 sin(a -f- fi)sin a. if the rope is horizontal, we… … SOLUTION. Denote the weight of the beamand its load by W, and suppose thatG is the point of application of thisforce. Denote the tension of therope BH, by t, and that of the ropeFA, by I. The forces acting to produce an equilibrium,are W, t, and t. The plane of these forces must be verti-cal, and…

Mechanics

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