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An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids (1849)

Smith, Augustus William, 1802-1866 · New York, Harper · leaf 125

An illustration from An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids, 1849, leaf 125
an inclined plane. Let AB be a section of an inclined plane, of which AB isthe length, BC theheight, and AC thebase. Let i be the in-clination of the plane tothe horizon, e the anglemade by the directionof the power P with theplane AB, W= theweight of the body «,and R= the reaction ofthe plane. The… … sin. i From (6), R=W cos. i—P sin. e=W cos. i— W sin. t sin. £ cos. e or ^ xos.(i+e) COS. £W COS. £ (d) R cos. (i+e)9the same relations as obtained in Ex. 24, Art. 129. 165. Cor. 1. If the force P act parallel to the plane, £=0,and (c) becomes W_ 1 ABP~sin.z~BCor, the power is to the weight as the…

Mechanics, Analytic

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