The book Engineering Applications of Higher Mathematics was written by author Vladimir Karapetoff Here you can read free online of Engineering Applications of Higher Mathematics book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Engineering Applications of Higher Mathematics a good or bad book?
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(11) becomes identical with Eq. (4). Fig. 26. — Jet with an inclined axis. Introducing the value of v from Eq. (7), as before, Eq. (11) becomes y = 4 hf cos^ a — X tan a. (12) Prob. 9.* — Eq. (12) represents a parabola; reduce its equation to the standard form x^ = 2py, Solution, — Let xq and yo (Fig. 26) be the unknown coordinates of the vertex K of the parabola. The equation of the parabola is of the form (x-Xoy = 2p(y-yQ), or x^ + xo* — 2 xa^o = 2 py — 2 pyo. * Most of the problems that foll...ow apply also to the finding of trajec- tories and ranges of projectiles, except that the resistance of the air and other disturbing influences modify somewhat the path and the velocity of a projectile. Digitized by Google Chap. IV.] FORM OF LIQUID JET. 49 The parabola passes through the origin A, so that this equation must be satisfied when a; = and 2/ = 0. Substituting these values we get the relation Xo^=-'2pyo, (13) so that the foregoing equation is simplified to x^-2xxo = 2py (14) Comparing it term by term with Eq.
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