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
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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