Bartlett, W. H. C. (William Holms Chambers), 1804-1893 · New York : Barnes · leaf 182
aking y = 0, we have 0 = tan a x — 9 2 V2 COS2 a whence x = 0, 2 V2 sin a . cos a9 = AJD = range; and representing by h, the height, due to the velocity V,we have F2 = 2gh (53): MECHANICS OF SOLIDS. 177 and denoting the range by R, and recollecting that 2 sin a . cos a = sin 2 a,we have, finally, R… … Since sin 2 a = sin 2 (90° - a), it follows that the same range may be attained by twoangles DAT and DAT, which are complements ofeach other. If in Eq. (54), we make a = 45°, then will complementaryangles give thesame range; B = 2h, whence greatest rangegiven by an angleof projectionequal to 45°; h…
Mechanics · Acoustics · Optics
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