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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 185

An illustration from An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids, 1849, leaf 185
on 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.=x be the space throughwhich the body will fall in thetime t by the action of gravity.Completing the parallelogramMN, the actual place of thebody… … 162 DYNAMICS. which the body must fall to acquire the velocity of projection(55), v2=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 parameter to the diameter throughA, h is the distance from A, the point of…

Mechanics, Analytic

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