Consider a solid sphere and a solid disk with the same radius and the same mass. Explain why the solid disk has a greater moment of inertia than the solid sphere, even though it has the same overall mass and radius.

Explanation:

In a Solid sphere; the moment of inertia around its geometrical axis can be expressed by using the formula:

For the solid disk; the moment of inertia around the central axis is:

Suppose ; then we can say both to be equal to M

As well as ; then that too can be equal to R

Now;

Multiplying equation (1) by 2, followed by dividing it by 2; we have:

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