Assuming small oscillation in a free vibration of the pendulum as shown in figure. Determine the critical damping coefficient of this system. Assume the rod is massless.

1
\(\sqrt {m{l^3}\left( {kl + mg} \right)} \)
2
\(l\sqrt {m\left( {kl + mg} \right)} \)
3
\(2\sqrt {m{l^3}\left( {kl + mg} \right)} \)
4
\(2\sqrt {ml\left( {k + mg} \right)} \)

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