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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 163

An illustration from Elements of mechanics: treated by means of the differential and integral calculus, 1887, leaf 163
ity upon the inclined plane. Let AP represent a section of the inclined plane made bya vertical plane taken perpendicularto the given plane, and let P be thecentre of gravity of a body restingon the given plane. Let PQ repre-sent the acceleration due to gravity,denoted by g, and let PR be the Ficr… … RECTILINEAR MOTION. 159 AB, the angle RQP is equal to ABC, or to a. Hence wehave, from the right-angled triangle PQB, g = #sina. But the triangle ABC is right-angled, and, if Ave denoteits height AG by A, and its length AB by I, we shall have sina = y , which, being substituted above, gives, • =…

Mechanics

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