The mass of a complex-shaped object is (3 mathrm{~kg}). When this object is suspended like a pendulum

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The mass of a complex-shaped object is \(3 \mathrm{~kg}\). When this object is suspended like a pendulum (Figure P1.6), its frequency of oscillation is 30 cycles \(/ \mathrm{min}\). The center of mass is at a distance of \(0.2 \mathrm{~m}\) from the pivot point \(A\).

Find the mass-moment of inertia of the object about its center of mass.

Figure P1.6

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