Rotational Motion

A thin uniform rectangular plate of mass \(2 \mathrm{~kg}\) is placed in \(x y\)-plane as shown in figure. The moment of inertial about \(x\)-axis is \(I_x=0.2 \mathrm{~kgm}^2\) and the moment of inertia about \(Y\)-axis is \(I_y=0.3 \mathrm{~kgm}^2\). The radius of gyration of the plate about the axis passing through \(O\) and perpendicular to the plane of the plate is