After a period of use, one of the blades of a shredder has

Chapter 9, Problem 9.133

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After a period of use, one of the blades of a shredder has been worn to the shape shown and is of mass 0.18 kg. Knowing that the mass moments of inertia of the blade with respect to the \(A A^{\prime}\) and \(B B^{\prime}\) axes are \(0.320\mathrm{\ g}\cdot\mathrm{m}^2\) and \(0.680\mathrm{\ g}\cdot\mathrm{m}^2\), respectively, determine (a) the location of the centroidal axis \(G G^{\prime}\), (b) the radius of gyration with respect to axis \(G G^{\prime}\).

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