Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 299
gment of one basegenerated by revolving the area BDE (fig. 183) about OY, where OB = a,and OE = c. Let the volume be divided into elementarycylinders as in § 130. Then the element ofvolume is Ady = irx2dy, and hence dm = pTrx2dy, where p is the density, assumed constant. Themass of this element may… … Fig. 183 J pirx2dy j (r-if)dy 3 (a + c)2 4 2a + c Ex. 6. Find the center of gravity of the surface of the sjmerical seg-ment of Ex. 5. Divide the surface into elementary bands as in § 133. Thendm = 2 irpx ds,where p, the amount of mass per unit area, is assumed constant. This mass may be considered…
Geometry, Analytic · Calculus
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