A text book of elementary mechanics, for the use of colleges and schools (1881)
Dana, Edward Salisbury, 1849-1935 · New York, J. Wiley & sons · leaf 153
llelogramABCD be completed, the line A C will represent the re-sultant of these forces. It is required to find an expres- 134 STATICS. [131. sion for the magnitude of this resultant in terms ofP, Q, and y. From geometry (Fig. 49), AC ~ AB2 + BCr + 2AB.BE, (1) but BE = BO cos CPP = AD cos _£UP.… … Further (Figs. 49, 50), since BC = AD = Q, it is seenthat the relations between the two forces and theirresultant are equally well expressed by the triangle ABC.This triangle is often useful for calculation, for (Figs.49 and 51) AB = P, BC = Q, AC = B, BAC = a,ACB = DAC= /3, and ABC = (180° - DAB)…
Mechanics
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