The platform AB when empty has a mass of 400 kg, center of mass at G1, and natural period...

The platform AB when empty has a mass of 400 kg, center of mass at G1, and natural period of oscillation τ1 = 2.38 s. If a car, having a mass of 1.2 Mg and center of mass at G2, is placed on the platform, the natural period of oscillation becomes τ2 = 3.16 s. Determine the moment of inertia of the car about an axis passing through G2.