Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 148
ecialcases which depend upon the following values of the initialvelocity: (a) v0= 0, (b) »0<fi (c) Io I (d)»>z- Curves (a), (b), (c), and (d) of Fig. 69 represent these ca» 3. It is evident from these curvesthat whatever its initial valuethe velocity tends to the same limiting value |, called… … I i... 60. = h rj: - g k k Let s = 0 when t = 0, then c = + c. tok - g Therefore t + vpk - gk2 (l - «-*). ^ 132 ANALYTICAL MECHANICS If we plot the last equation for the four different cases ofthe initial velocity we obtain the curves of Fig. 70. It isevident from these curves that a very-short…
Mechanics, Analytic
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