A thin circular ring of mass `M` and radius `R` is rotating about its axis with an angular speed `omega_(0)` two particles each of mass `m` are now attached at diametrically opposite points. Find new angular speed of the ring.

Explanation

To solve the problem of finding the new angular speed of a rotating thin circular ring after two particles are attached to it, we will use the principle of conservation of angular momentum. Here’s a step-by-step solution:

### Step 1: Understand the Initial Conditions
- We have a thin circular ring of mass \( M \) and radius \( R \) rotating with an initial angular speed \( \omega_0 \).
- The moment of inertia \( I \) of the ring about its axis is given by:
\[ I = MR^2 \]
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