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  4. A uniform metallic rod rotates about its perpendicular bisector with constant angular speed. If it is heated uniformly to raise its temperature slightly, then

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Q. A uniform metallic rod rotates about its perpendicular bisector with constant angular speed. If it is heated uniformly to raise its temperature slightly, then

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Solution:

When a metallic rod is heated it expands. Its moment of inertia $(I)$ about a perpendicular bisector increases. According to law of conservation of angular momentum, its angular speed $ (\omega ) $ decreases, since $ \omega \times \frac{1}{l} $ (according to law of conservation of angular momentum).