A horizontal platform P is held by several rigid bars which are connected to a vertical wi...

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 uniform 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 = 27 N m/rad, determine the centroidal moment of inertia of object A.