### Determine the centroidal moment of inertia of object a

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A horizontal platform P is held by several rigid bars which are connected to a vertical wire. The period of oscillation of the platform is found to be 2.2 s when the platform is empty and 3.8 s when an object A of unknown moment of inertia is placed on the platform with its mass center directly above the center of the plate. Knowing that the wire has a torsional constant K = 20 lb . ft/rad, determine the centroidal moment of inertia of object A.

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