Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 149
dthat for projectiles whose velocitieslie under 1000 feet per second andover 1500 feet per second the resistance varies, approxi-mately, as the square of the velocity, while between thesevalues it varies as the cube and even higher powers ofthe velocity. The experimental data on the subject arenot… … dvdt g - kv2, (5) /.-, where k = — = constant. In order to integrate the last equa- i/i t ion wo replace — by v- and rearrange the terms so that wedt ds get dv kds. MOTION OF A PARTICLE l:;.; Integrating we have \og(v°--gk)=-2ks + c, or v- — f = ec >e~-k\ Let v = vQ when s = 0, then ec = v02 -…
Mechanics, Analytic
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