Class 11 NEET Physics System of Particles and Rotational Motion

A circular disc may be divided into a large number of circular rings. Moment of inertia of the disc will be the summation of the moments of inertia of these rings about the geometrical axis. Now, moment of inertia of a circular ring about its geometrical axis is MR2, where M is the mass and R is the radius of the ring.

since the density (mass per unit volume) for iron is more than that of aluminium, the proposed rings made of iron should be placed at a higher radius to get more value of MR2. Hence to get maximum moment of inertia for the circular disc, aluminium should be placed at interior and iron at the exterior position.