Three rods are arranged in the form of an equilateral triangle. Calculate the M.I. about an axis passing through the geometrical centre and perpendicular to the plane of the triangle (Assume that mass and length of each rod is M and L respectively).

Explanation

To calculate the moment of inertia (M.I.) of three rods arranged in the form of an equilateral triangle about an axis passing through the center and perpendicular to the plane of the triangle, we can follow these steps:

### Step 1: Understand the Configuration
We have three rods of mass \( M \) and length \( L \) arranged to form an equilateral triangle. The axis of rotation is perpendicular to the plane of the triangle and passes through its centroid.

### Step 2: Identify the Moment of Inertia for One Rod
The moment of inertia of a single rod about an axis through its center is given by the formula:
\[
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