A circular disc is to be made by using iron and aluminium so that it acquired maximum moment of inertia about geometrical axis. It is possible with

For maximum moment of inertia of a circular disc about its geometrical axis, the arrangement of materials comes into play. Moment of inertia depends on the mass of the material and at what distance from the axis of rotation it is located. Given a certain amount of mass, the greater the distance of that mass from the axis of rotation, the greater the corresponding contribution to the moment of inertia.

In this case, the disc is made using iron and aluminum. Iron is denser and heavier, while aluminum is lighter. The heavier material should be placed farther from the axis of rotation to get maximum moment of inertia. The moment of inertia increases with the square of the distance from the axis. By placing iron in the outer region of the disc and aluminum closer to the center, the heavier material contributes more effectively to the rotational resistance.

This arrangement ensures the mass farther away from the axis maximizes its contribution to the moment of inertia. Alternatively, placing aluminum on the interior will reduce its less significant contribution to the inertia. Therefore, the optimal setup is to place aluminum at the interior and iron to surround it, thus maximizing moment of inertia.

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