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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 187

An illustration from An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids, 1868, leaf 187
onstant, accelerating force, is a parabola. Let v be the velocity of pro-jection from the point A, in thedirection ANY, and t the timein which the body will describeAN=y, with the uniform veloci-ty v, if gravity do not act. LetAM=a; be the space throughwhich the body will fall in thetime t by the… … y ——x. g («) If h be the space due to the velocity v, or the space through 1G2 DYNAMICS. which the body must fall to acquire the velocity of projection(55), vi—2gh, which, substituted in (a), gives y=4hx, (62) the equation of a parabola referred to the oblique axes AX,AY; and, since 4h is the…

Mechanics, Analytic

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