Engineering Applications of Higher Mathematics
Engineering Applications of Higher Mathematics
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In our eReader you can find the full English version of the book. Read Engineering Applications of Higher Mathematics Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Engineering Applications of Higher Mathematics
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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.
What to read after Engineering Applications of Higher Mathematics?
You can find similar books in the "Read Also" column, or choose other free books by Vladimir Karapetoff to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
(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.
What to read after Engineering Applications of Higher Mathematics?
You can find similar books in the "Read Also" column, or choose other free books by Vladimir Karapetoff to read onlineMoreLess
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