Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 151
re of the 134 ANALYTICAL MLCHAXK \S velocity of the bullet, find the expression for the highest point reached.Also find the time of upward flight. 6. In the preceding problem suppose the resistance to be proportionalto the velocity. 113. IV. Simple Harmonic Motion.—The motion of a par-ticle is… … Fig. 71. Let m be the mass of the particle, the line A A its path,Fig. 71, and 0 the fixed point. Then denoting the dis-placement, i.e., the distance of the particle from the fixedpoint, by x we obtain F = - k2x, dv , „ or m~Ti = ~ * x> ,11 (1) for the force equation. It is evident that equation…
Mechanics, Analytic
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