Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 316
needfurther explanation. U Jo dx T^^mv^ 2 -X ■-^(a^-x^)2 TT^a^TO -^^sm^ —(i + fo).(VII)E=T+U = 2 TT^a^m cos^y(«+«. (VI) (VIII) Thus the total energy of the particle is constant and equalsthe maximum values of the potential and kinetic energies.The total energy varies, evidently, directly as the… … (I) is the U and t Curve. (II) is the T and. t Curve.CIII)is the E and t Curve. Fig. 133. 237. Average Value of the Potential Energy. — Since U maybe considered as a function of either x or t, we will find itsaverage value with respect to both variables. Taking 0 and 302 ANALYTICAL MECHANICS a as…
Mechanics, Analytic
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