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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 116

An illustration from Elements of mechanics: treated by means of the differential and integral calculus, 1887, leaf 116
Qequal to a, since 0 Q is perpendicular to AB, and OB toA (7, and, consequently, the angle Q OP = 9 — as Fromthe principle of Art. 35, we have, P : B : : sina : sinfa — a) . . (38.) ELEMENTARY MACHINES. Ill From which, if either P or <p be given, the other can befound. If we suppose the power to… … Fig. 73. (39.] That is, when the power is parallel to the plane, the poweris 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, <p — a = 90° — a; whence, sin((p — a) z= cos a = AC,AB also, sin a BCAB

Mechanics

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