A uniform wire of length l and mass M is bent in the shape of a semicircle of radius r as shown in figure. Calculate moment of intertia about the axis XX'

Explanation

To find the moment of inertia of a uniform wire bent into the shape of a semicircle about the axis XX', we can follow these steps:

### Step 1: Understand the Geometry
The wire has a total length \( L \) and is bent into a semicircular shape with radius \( r \). The mass of the wire is \( M \).

### Step 2: Relate Length and Radius
Since the wire forms a semicircle, the length of the wire can be expressed as:
\[
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