Three uniform rods, each of length 21 ( = 1m) and mass M = 8 kg are rigidly joined at their ends to form a triangular framework. Find the moment of inertia of the framework about an axis passing through the midpoints of two of its sides?

Explanation

To find the moment of inertia of the triangular framework formed by three uniform rods about an axis passing through the midpoints of two of its sides, we can follow these steps:

### Step 1: Understand the Configuration
We have three uniform rods, each of length \( l = 1 \, \text{m} \) and mass \( M = 8 \, \text{kg} \), forming an equilateral triangle. The axis of rotation is through the midpoints of two sides of the triangle.

### Step 2: Identify the Length of the Sides
Since each rod is of length \( 1 \, \text{m} \), the sides of the equilateral triangle formed will also be \( a = 1 \, \text{m} \).

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