Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 175
we geldly = (^ + :^dm Integrating the last equation we have y ma- , rm • i/„ = —+J z*dm imn1 , r - ., ., , 158 ANALYTICAL MECHANICS — m°2 _l_ Tira~l3 4 + 12 3. Find the moment of inertia of a homogeneous sphere about adiameter ami about a tangent line. Let )n, a, and r be the mass, the yradius, and… … Iv=ifQ !J2<l>»+f0 ^dm — 7 I y4dz -\-ttt I z2y2 dz [dm = mry-dz] 4 J—a J —a =f r ^ - ^2 dz+2 ^ i>2 - *> ■*■ and Sttto515 = I TOO2 Iy> = Iy + ma-= I ma2. 124. Theorem III. — 77/r moment of inertia of a homogeneousright cylinder about a transverse axis equals the moment of in-ertia of…
Mechanics, Analytic
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