Elements of mechanics: for the use of colleges, academies, and high schools (1859)
Peck, William G. (William Guy), 1820-1892 · New York, A. S. Barnes & Burr · leaf 186
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 ACB represent the plate, AB the axis, and CDany element parallel to AB. Denotethe radius 0 C, by r, the distance OE,by… … TT>r i, r 2 V 1* — V? -, dM = M-+ dx. «rr Substituting in Equation (106), we have, 184 MECHANICS. M -i 2dx. nr = r—-.x*^-x*) Integrating by the aid of Formulas A and JB (IntegralCalculus), and taking the integral between the limitsx = — r, and x = + r, we find, and for a parallel axis at a…
Mechanics
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