Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 162
ogeneous Solid of Revolution.— Let Fig. 77 represent any solid obtained by revolvinga plane curve about the .r-axis. Then the center of masslies on the axis of revolution. The position of the centerof mass is found most conveniently when the element ofmass is a thin slice obtained by two transverse… … 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
Mechanics, Analytic
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