Two uniform thin rods \( A \) and \( B \) of length \( 0.6 \mathrm{~m} \) each and of masses \( ...

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Two uniform thin rods \( A \) and \( B \) of length \( 0.6 \mathrm{~m} \) each and of masses \( 0.01 \mathrm{~kg} \) and \( 0.02 \mathrm{~kg} \) respectively are rigidly joined, end to end. The combination is pivoted at the lighter end \( P \) as shown in the figure-5.140 such that it can freely rotate about the point \( P \) in a vertical plane. A small object of mass \( 0.05 \mathrm{~kg} \), moving horizontally this the lower end of the combination and sticks to it. What should be the velocity of the object so that the system could just be raised to the horizontal position?
Figure \( 5.140 \)
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