Elements of mechanics: treated by means of the differential and integral calculus (1887)
Peck, William G[uy], 1820-1892. [from old catalog] · New York, Chicago, A. S. Barnes & company · leaf 188
ance of the centre of gravity of the rectanglefrom the axis parallel to one of its ends. Example 2. To find the moment of inertia of a thincircular plate about one of its diameters. Let A OB represent the plate, AB the axis, and CDany element parallel to AJB. Denotethe radius 0 C, by r, the… … dM = M-± - dx. irr Substituting in Equation (106), we have, 184 MECHANICS. K = M J vcr* v dx. Integrating by the aid of Formulas A and B (IntegralCalculus), and taking the integral between the limitsx — — r, and x = + r, we find, and for a parallel axis at a distance from AB equal to d, K = M(j +…
Mechanics
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