Module 14 :  Double Integrals, Applilcations to Areas and Volumes Change of variables
Lecture 41 :  Applications of multiple integrals  [Section 41.2]
 

(iii)
Moments of Inertia :
 

Let be a planer body with density for . Then

are called the moment of inertia of about -axis and about the -axis, respectively. Similarly, for a solid , the scalars



are called the moments of inertia of about the -axis, -axis, and the -axis, respectively. The quantities

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