Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 319
imple harmonic forces.Then the motion which will result when the forces actsimultaneously is obtained by adding equations (1) and (2).Thus X = Xi + a;2= tti sin ((ot + Si) +. 02 sin {cot + Sj). 304 ANALYTICAL MECHANICS Expanding the right-hand member of the last equation andrearranging the terms we… … Fig. 134. It is evident from equation (3) that the resulting motion issimple harmonic and has the same period as the componentmotions. Squaring the last two equations and adding we obtainthe amplitude of the motion in terms of the constants ofequations (1) and (2). Thus a^ = Oi^ +02^ + 2 aiQi cos…
Mechanics, Analytic
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