A rod AB of length l is pivoted at an end A and freely rotated in a horizontal plane at an angular speed `omega` about a vertical axis passing through A. If coefficient of linear expansion of material of rod is `alpha`, find the percentage change in its angular velocity if temperature of system is incresed by `DeltaT`

Explanation

To solve the problem, we need to find the percentage change in the angular velocity of a rod when its temperature is increased. Here’s a step-by-step solution:

### Step 1: Understand the Initial Conditions
We have a rod AB of length \( l \) pivoted at point A, rotating with an initial angular velocity \( \omega \). The moment of inertia \( I_1 \) of the rod about point A is given by the formula:
\[ I_1 = \frac{1}{3} m l^2 \]
where \( m \) is the mass of the rod.
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