Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 322
a^ Squaring the last equation and simplifying we have 2/2 2xy + - - a b^ ab which is the equation of an ellipse, Fig.136. The following cases are of specialinterest. cos 5 = sin^ S,bV Case I. When 5=0, equation (3) re-duces to w = -X, which is the equation ofa the line AA. Substituting the valuesof… … to Va^ + b^ and period - Case II. When 8= t, equation (3) reduces to y= —x. Therefore the motion is similar to that in Case I and takesplace in the line BB. Case III. When 5 = ± ^ equation (3) reduces to 5. I ^ = 1 a^ ^ b while equations (1) and (2) become a; = a sin cot,y=b cos cot. In this case,…
Mechanics, Analytic
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