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Q.

In a boat of mass 4M and length ‘L’ on a frictionless water surface, two men A(mass = M) and B(mass = 2M) are standing on the opposite ends. Now A travels a distance L/4 relative to boat towards its center and B moves a distance 3L/4 relative to boat and meet A. The displacement of the boat on water till A and B meet is (5L/4 $α$ ). Find the value of $α$ .

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Detailed Solution

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$2 M (\frac{3 L}{4} - x) = M (\frac{L}{4} + x) + 4 M x \Rightarrow x = \frac{5 L}{28}$

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In a boat of mass 4M and length ‘L’ on a frictionless water surface, two men A(mass = M) and B(mass = 2M) are standing on the opposite ends. Now A travels a distance L/4 relative to boat towards its center and B moves a distance 3L/4 relative to boat and meet A. The displacement of the boat on water till A and B meet is (5L/4α). Find the value of α.