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 190
. 185 Example 4. To find the moment of inertia of a circularring, such as maybe generated by revolving a rectangle abouta line parallel to one of its sides,taken with respect to an axis throughthe centre of gravity and perpendi-cular to the face of the ring. This casediffers but little from the… … Fig. 113. dM = M 2xdx Substituting in Equation (106), and integrating betweenthe limits r, and r\ we have, r * = / M ^dx _ r*-r* wr* + r* -r*~ 2(r2 - ra) 2 For a parallel axis at a distance from the primitive axisequal to d, we have. = mC r> + ru + *) (110.) If in these values of K and K we make…
Mechanics
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