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 347
a pendulum is called asimple pendulum. The laws of vibration in this case willbe identical with those explained in Art. 120, the arc ABObeing an arc of a circle. Let AB G be the arc throughwhich the vibration takes place,and denote its radius DA, by I.The angle ADO is called theamplitude of… … (92.) Let us suppose that the angle of deviation is so small, thatthe chords of the arcs AB and JIB, may be consideredequal to the arcs themselves. We shall have (Davies Le-gendre, Bk. IV., Prop. XXIIL, Cor.), AB2 = 21 x EB, and ~HBA = 21 x KB,whence, by subtraction, AB2 - HB2 = 2l{EB - KB) = 21 x…
Mechanics
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