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

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