Calculate the moment of inertia of a disc about its any diameter ?

Explanation

To calculate the moment of inertia of a disc about its diameter, we can follow these steps:

### Step 1: Understand the Geometry of the Disc
Consider a disc of mass \( m \) and radius \( r \). The disc lies in the xy-plane, with the z-axis perpendicular to the plane of the disc and passing through its center.

### Step 2: Use the Known Moment of Inertia
The moment of inertia of the disc about an axis perpendicular to the plane (the z-axis) is given by the formula:
\[
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