Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 171
btain K^ = K,^ + a\ (VI) ILLUSTRATIVE EXAMPLES. 1. Find the moment of inertia of a homogeneous circular disk (a) aboutits geometrical axis, (b) about one of 4ihe elements of its lateral surface. Let m be the mass, a the radius, I the thickness, and r the density of thedisk. Then choosing a circular… … Fig. 87. The moment of inertia about the element is obtained easily by the helpof theorem II. Thus 7 = 7 + ma^= I ma. It will be noticed that the thickness of the disk does not enter into theexpressions for 7 and 7 except through the mass of the disk. Thereforethese expressions hold good whether…
Mechanics, Analytic
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