Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 156
g equation: (mi+m2+ • • • + mj X = TOiXi + m2X2 + • • • +m„x„, 140 CENTER OP MASS AND MOMENT OF INERTIA 141 or similarlyand -_ ^mx - _Lmy^~ Sto - Hmz2jm (I) Evidently x, y, and z are the coordinates of the center ofmass. ILLUSTRATIVE EXAMPLES. 1. Find the center of mass of two particles of masses m… … 2m X Fig. 72. 2. Find the center of mass of three particles of masses m, 2 m, and3 m, which are at the vertices of an equilateral triangle of sides o.Choosing the axes as shown in Fig. 73 we have- ^ 0 + 2 ?»a + 3 ?wa cos 60° m-\- 2 m + 3 m V = A a, 0 + 0 + 3 mo sin 60° 2=0. 6m 142 ANALYTICAL…
Mechanics, Analytic
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