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 42
Fig 14. COMPOSITION AND RESOLUTION OF FORCES. 39 OPR, and POQ, are interior 9, angles on the same side, and, con-sequently, supplementary; hence,sin OPR = sin POQ. We havealso R — Rr. Making these sub-stitutions in the preceding propor-tion, we have, … Fig 14. P : Q : R : : sin QOR : sin POR : sin POQ. Hence, if three forces are in equilibrium, each is propor-tional to the sine of the angle between the other two. EXAMPLES 1. Two forces, P and Q, are equal in intensity to 24 and30, respectively, and the angle between them is 105°. Whatis the…
Mechanics
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