The moment of inertia of a uniform rectangular plate about a horizontal axis parallel to one of its edges and 0.10m above its centre of mass is measured to be 0.54kgm2. The mass of the plate is 3.0kg.
a. (i) Determine its moment of inertia about a parallel axis through the centre of mass.
b. (ii) Calculate the radius of gyration of the plate about the given axis.