A rigid uniform rod AB of length L and mass m is hinged at C such that AC = L/3, CB = 2L/3. Ends A and B are supported by springs of spring constant k. The natural frequency of the system is given by

1
\(\sqrt {\frac{K}{{2m}}}\)
2
\(\sqrt {\frac{K}{m}}\)
3
\(\sqrt {\frac{{2K}}{m}}\)
4
\(\sqrt {\frac{{5K}}{m}}\)

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