Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 138
int y = 0. There-fore substituting this value of y in equation (4) we obtain — or -T for the time taken to reach the highest point. Substituting this value of the time in equation (8) we getfor the maximum elevation H = Vo^ sin^ a. 2g (13) The Range for a Sloping Ground. — Let /3 be the angle which… … Fig. 67. Eliminating y between equations (14) and (9) we obtain thea;-co6rdinate of the point, 2 Vq^ cos^ a (tan a — tan p) ButTherefore 9Xp = R cos ft where R = OP. „, 2 Vo^ cos a . . -VR = —^ TT- Sm (a-0) g cos^ |3_ ;;o^sin (2 a — /3) — sin j3~ g cos^/S (15) 124 ANALYTICAL MECHANICS Thus for a…
Mechanics, Analytic
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