Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 339
.Therefore this is a case of no motion. Casi II. Let <r> b2, then Va2- 62 is real.radical by c we have d=Al[e-{a The character of the motionis brought out by the graphof ((inutioii (XXII), Fig.I 1.). The graph is easilyobtained by drawing thedotted curves, which areplotted by considering… … Fig. 11...and then diminishes to zero asymptotically. In this case the motion is said to be aperi-odic «»f dead-bi at. III. L.t a-<b- then \ <r - (>- is imaginary. Lets i i and V&» - a2 = «. Then vV - 62 = iu. Makingtin- substitution in equation (XXI) we obtaine=Ale-at(eikt-c-ikt)=…
Mechanics, Analytic
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