A uniform circular disc of radius 0.20m and mass 2.0kg rests on a horizontal table. Answer the following:
(i) Using the known moment of inertia of a uniform disc about an axis through its centre and perpendicular to its plane, derive an expression for the moment of inertia of the disc about any diameter (lying in the plane of the disc).
(ii) Hence calculate the moment of inertia of the disc about a tangent to the disc that also lies in its plane.
(iii) If the disc is set into rotation about the tangent axis found in part (ii) with an angular speed of 10rads−1, determine its rotational kinetic energy.