Find the intensity of gravitational field at a point lying at a distance `x` from the centre on the axis of a ring of radius `a` and mass `M`.

Explanation

To find the intensity of the gravitational field at a point lying at a distance \( x \) from the center on the axis of a ring of radius \( a \) and mass \( M \), we can follow these steps:

### Step 1: Understand the Setup
Consider a ring of radius \( a \) with a total mass \( M \). We want to find the gravitational field intensity at a point located on the axis of the ring at a distance \( x \) from its center.

### Step 2: Define the Gravitational Field Contribution
Take a small mass element \( dm \) on the ring. The gravitational field \( dE \) produced by this mass element at the point on the axis can be expressed using Newton's law of gravitation:
\[
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