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An engineer wants to find the rotational inertia of an odd-shaped object of mass 9.0 kg about an axis through its center of mass. The object is supported with a wire along the desired axis. The wire has a torsion constant k = 0.8 Newton-meter. If this torsion pendulum oscillates through 20.0 complete cycles in 60.0 seconds what is the rotational inertia of the odd-shaped object?

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