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## Homework Statement

A ball of mass ##m## is attached to a massless string of length ##L##. The ball is released from rest as shown in the figure and as it reaches the bottom of the circle, the string wraps around a nail which is a distance ##d## below the center of the circle. What is the velocity of the ball after the collision?

## Homework Equations

The velocity before the collision is ##v=\sqrt{2gL}## from energy conservation.

From angular momentum conservation around the nail ##(L-d)mv=(L-d)mv_{f}##.

## The Attempt at a Solution

So the velocity after the collision is the same as before the collision. Is this right?