A uniform rod of length ‘ 6 L ’ and mass ‘ 8 m ’ is pivoted at its centre ‘ C ’. Two masses ‘ m ’ and ‘ 2 m ’ with speed 2 v , and v , as shown strikes the rod and stick to the rod. Initially, the rod is at rest. Due to impact, if it rotate

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A uniform rod of length ‘ 6 L ’ and mass ‘ 8 m ’ is pivoted at its centre ‘ C ’. Two masses ‘ m ’ and ‘ 2 m ’ with speed 2 v , and v , as shown strikes the rod and stick to the rod. Initially, the rod is at rest. Due to impact, if it rotates with angular velocity ‘ ω 1 ’, then ‘ ω ’ will be.

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Correct answer: A. v 5 L

From angular momentum conservation: 2 m v L + m 2 v 2 L = 8 m 6 L 12 2 + 2 m L 2 + m 2 L 2 ω &#8658; ω = v 5 L

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