\( N \) beads identical beads are resting on a smooth horizontal wire which is circular at the e...

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\( N \) beads identical beads are resting on a smooth horizontal wire which is circular at the end with radius \( r=0.5 \mathrm{~m} \) as
\( \mathrm{P} \) shown in the figure. Find the minimum velocity which should

W be imparted to the first bead such that \( n^{\text {th }} \) bead will fall in the tank after completing full circle in vertical plane as shown in the figure. Take all the collisions between the beads elastic ( \( e=1) \).
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