Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 324
lem it affected because thai will amount to assuming thai the compo-nent motions .-ire in the aame phase. or y x ? — cos 0 PERIODIC MOTION 307 • sin 5. a * a- Squaring the last equation and simplifying we have x2 , y2 2 xy . . ., —; + To r cos 8 = sin2 8, o2 o- ab which is the equation of an… … r = v x2 + y2we obtain r = Va2 + b2 • sin ut FlG- 136- for the equation of the motion. Therefore the motion issimple harmonic, in the line AA, with an amplitude equal to v/a2 -f b2 and period — • Case II. When 8 = v, equation (3) reduces to y = —x. a Therefore the motion is similar to that in Case…
Mechanics, Analytic
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![An illustration from Nicolai Copernici Torinensis De reuolutionibus orbium coelestium, libri VI : Habes in hoc opere iam recens nato, & aedito, studiose lector, motus stellarum, tam fixarum, quàm erraticarum, cum ex ueteribus, tum etiam ex recentibus obseruationibus restitutos: & nouis insuper ac admirabilibus hypothesibus ornatos. Habes etiam tabulas expeditissimas, ex quibus eosdem ad quoduis tempus quàm facillime caculare poteris. Igitur eme, lege, fruere. [Line in Greek] (1543)](https://img.insideoutlibrary.com/img/200/ia-nicolaicopernici00cope-24-10.webp)
