A rod is of mass M = 3kg and length 2a (a = 2m). Find moment of inertia about an axis through the centre of the rod and perpendicular to the rod. (b) parallel to the rod and distant d = 2m from it?

Explanation

To solve the problem, we will calculate the moment of inertia of a rod in two different scenarios.

### Given:
- Mass of the rod, \( M = 3 \, \text{kg} \)
- Length of the rod, \( L = 2a = 2 \times 2 \, \text{m} = 4 \, \text{m} \)

### Part (a): Moment of Inertia about an axis through the center of the rod and perpendicular to the rod.

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