$k$ and length $l$ is hung at a point P, rod have a massless lock at the other end. A smooth ring of mass $m$ falls from P (It is the same point from where the rod was hung), find the max elongation in the rod.

An elastic rod of costant**Details and Asumptions**:

Gravity acts vertically downwards.

Position of ring in picture is not of initial position.

Length l is taken from point P to lock.

$l=30, m=20, k=10, g=10$

All the values above are in SI units

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