Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 140
nt y = 0. There-fore substituting this value of ij in equation (4) we obtain — or - T for the time taken to reach the highesl point. 9 2 Substituting this value of the time in equation (8) we gelfor the maximum elevation // to-sin-q.2<7 (13) The Range for a Sloping Ground. — Let 0 be theangle… … Eliminating y between equations (14) and (9) we obtain the ^-coordinate of the point, 2 /q2 cos2 a (tan a — tan 0) But Therefore xp = R cos 0, where W = OP. ^2^%in(«-0)gcos2 0 _ t02sin (2 a - 0) - sin /3 g cos2/3 (15) 124 ANALYTICAL MECHANICS Thus for a given value of /3, R is maximum when sin…
Mechanics, Analytic
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