Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 174
f the cylinder; then taking a slice obtained by two rightsections as the element of mass we get, by theorem II. (II y = <lly> + Z- <llll, where dm is the mass of the element, dly and dly- are the momenta ofinertia of the element aboul the given axis and aboul a parallel axis through the… … F^l Vu,. 88. Substituting this value of dlu in the expression for <//„ 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…
Mechanics, Analytic
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