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 188
is at a distance d from the primitive axis, K *= M(j + d*^ ..... (109.) MOMENT OF INERTIA. 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… … Pig. 113. an elementary ring whose radius is x, and whose breadth is dx, we shall have for its mass, dll = If Ixdxr* — ra Substituting in Equation (106), and integrating betweenthe limits r, and r\ we have, _ /», _ 2x3dx t, .. rfi — r4 K = \M— - = J-f--7-7I- it J r1 — r2 2(ra — r2) M r2 + r2 For a…
Mechanics
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