An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids (1849)
Smith, Augustus William, 1802-1866 · New York, Harper · leaf 70
e center of figure. 102. Prop. To find the center of gravity of any number ofheavy particles whose weights and positions are given. Let A, B, C, &c, be the particles, whose weights w1, w2, w3, &c, act at their respectivecenters of gravity, verticallydownward, and therefore con-stitute a… … m W3 w1+w2 : w. w1-\-w. Compounding the weight w1+w2 at a with another weightw3 acting at C, they will have a resultant w1+w2+w3 actingat some point b, such that (w1 -hw2).ab=w3.Cb. CENTER OF GRAVITY. 47 First determining aC from the triangle aCB, in which BC,B«, and the angle aBC are supposed to…
Mechanics, Analytic
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