Elements of mechanics: for the use of colleges, academies, and high schools (1859)
Peck, William G. (William Guy), 1820-1892 · New York, A. S. Barnes & Burr · leaf 194
. In Equation (117) there are four quantities, <?, r, v, and a,and from it, if any three are given, the remaining one maybe determined. As an application of the principles just deduced, let it berequired to determine the angleof projection, in order that theprojectile may strike a pointJT, at a… … y x tana gx 2i>2cos3a 192 MECHANICS. From trigonometry, we have, 1 1 COSJa sec5a 1 -f tan8.a Substituting this in the preceding equation, we have,after clearing of fractions, 2v-i/ = 2t>Vtana — gx\l -f tan2a); or, transposing and reducing, gx gx Hence, tana — —- ± \ /-7-7J —--V^— ; ^ * V g/W…
Mechanics
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