Calculate the moment of inertia of a disc of radius R and mass M, about an axis passing through its centre and perpendicular to the plane.

Explanation

To calculate the moment of inertia (I) of a disc of radius R and mass M about an axis passing through its center and perpendicular to the plane, we can follow these steps:

### Step 1: Understand the Definition of Moment of Inertia
The moment of inertia of a body is defined as the sum of the products of the mass elements and the square of their distances from the axis of rotation. Mathematically, it is given by:
\[ I = \int r^2 \, dm \]
where \( r \) is the distance from the axis of rotation to the mass element \( dm \).
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