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Analytical mechanics for students of physics and engineering (1913)

Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 315

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SLXi\--^t-\- s] = asm.-^{t+to)= a cos (coi+ 5) = a cos co (<+ W)= acos(-^i+ 5] = aGOS-~{t-\-to), ■K P where 5 = - — 5 and to = to. 234. Epoch. — The constants to and to are called epochs,and d and 5 are called epoch angles. The meanings of theseconstants will be seen from Fig. 131. 235.… … (I) Is the displacement - time curve (II) is the velocity - time curve Fig. 132. It is evident from these expressions that the velocity is asimple harmonic function of the time, that it has the same PERIODIC MOTION 301 period as the displacement, and that it differs in phase fromthe latter by -, as…

Mechanics, Analytic

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