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Analytical mechanics for students of physics and engineering (1913)

Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 147

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moving bodies. It is foundthat for projectiles whose velocitiesHe under 1000 feet per second andover 1500 feet per second the resistance varies, approxi-naately, as the square of the velocity, while between thesevalues it varies as the cube and even higher powers ofthe velocity. The experimental… … Fig. 70. TO — =mg— kiv^, or dvJt = g- kv^, (5) h where k= — = constant. In order to integrate the last equa- TO tion we replace ;^ by y-r- and rearrange the terms so that weget vdv = — kds. MOTION OF A PARTICLE 133 Integrating we have or 1)2 _ f = e<=. e-2 *», k Let V = Vo whens = 0, then e =…

Mechanics, Analytic

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