Elements of mechanics: treated by means of the differential and integral calculus (1887)
Peck, William G[uy], 1820-1892. [from old catalog] · New York, Chicago, A. S. Barnes & company · leaf 171
e. The motion is, therefore, periodic. Let ABC be the arc throughwhich the vibration takes place, anddenote its radius by I. The angleCD A is called the amplitude of vi-bration; half of this angle ABB,denoted by a, is called the angle ofdeviation ; and I is called the lengthof the pendulum. If the… … PERIODIC MOTION. 167 have DK = Zcos4; we shall also have DE = fcosa ; andsince h is equal to DK — DJE^ we shall have, h — I (cosd — cosa). Which, being substituted in the preceding formula, gives, v — \/2gl(cos) — cosa).From the preceding article, we have, dt Equating these two values of v, we…
Mechanics
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