Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 162
Fig. ILLUSTRATIVE EXAMPLE Find the center of mass of a parab-oloid of revolution obtained by revolv-ing about the x-axis that part of theparabola y2 = 2 px which lies betweenthe lines x = 0 and x = a. dm = T7T//- dx= T7r 2 px dx; 2tttpC ..•- dx … 2irrp ( xdx = %a. PROBLEMS. Find the center of mass of the homogeneous Bolid of revolution gener-ated by revolving about the .r-axis the area bounded by (1) y = -x, x = h, and y = 0. h (2) x2 = 4ay, x = 0, and y = a. (3) x- + y- = a2, and x = 0. (4) b2x2 + <ry- = a*b*} and x = 0. (5) y = sinx, x…
Mechanics, Analytic
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