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An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids (1868)

Smith, Augustus W. (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, 1868, leaf 125
equired the conditions of equilibrium of a bodysustained by any force on an inclined plane. Let AB be a section of an inclined plane, of which AB isthe length, BC the P height, and AC thebase. Let i be the in-clination of the plane tothe horizon, e the anglemade by the directionof the power P with… … Pcos. e—W sin. ?=0,R+P sin. e—W cos. i=0.From (a) we obtain W COS. £ P sin. 7 From (b), R=W cos. i—P sin. £=W cos. z- (a) (P) W sin. i sin. e COS. £ W. cos. (i+£) W COS. £COS. £ or (d) R cos. (i+e)the same relations as obtained in Ex. 24, Art. 129. 165. Cor. 1. If the force P act parallel to the…

Mechanics, Analytic

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