PROBLEM 9.166 The homogeneous circular cone shown has a mass m. Determine the moment of inertia of the cone with respect to the line joining the origin Oand point A. SOLUTION First note that ()()2223933OAdaaaa=+−+=Then ()131229232OAaaaa=−+=−+ijkijkλFor a rectangular coordinate system with origin at point A and axes aligned with the given , ,xyzaxes, have (using Figure 9.28) 231335410xzyIImaaIma==+=
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