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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 114

An illustration from Elements of mechanics: for the use of colleges, academies, and high schools, 1859, leaf 114
BOQequal to a, since 0 Q is perpendicular to AJB, and OB toA C, and, consequently, the angle Q OB = cp — at Fromthe principle of Art. 35, we have, B : B : : sin« : sin(<p — a) . . (38.) ELEMENTARY MACHINES. Ill From which, if either P or <p be given, the other can befound. If we suppose the… … Fig. 7 (39.) That is, when the power is parallel to the plane, the poioeris to the resistance, as the height of the plane is to its length. If the power is parallel to the base of the plane, we shallhave, q> — a — 90° — a; whence, . . . AC sm(<p — a) = cos a = —— ; also, sin a = BCAB

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