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Elements of mechanics: for the use of colleges, academies, and high schools (1859)

Peck, William G. (William Guy), 1820-1892 · New York, A. S. Barnes & Burr · leaf 90

An illustration from Elements of mechanics: for the use of colleges, academies, and high schools, 1859, leaf 90
hen will Da represent the tension of therope, and Do the thrust on the pole. From Art. 35, we have, sin (3 t : W: : sin /3 : sin a ; .-. t — W sma STABILITY. We have, also, from the same principle,p : W : : sin (a + /3) : sin a ; .-. p — W 87 sin (a -f- /3)sin a. If the rope is horizontal, we shall… … SOLUTION. Denote the weight of the beamand its load by W] and suppose thatC 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…

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