# GATE2015-3-28

Figure shows a single degree of freedom system. The system consists of a massless rigid bar $OP$ hinged at $O$ and a mass $m$ at end $P$. The natural frequency of vibration of the system is

1. $f_n=\displaystyle{\frac{1}{2\pi }\sqrt{\frac{k}{4m}}} \\$
2. $f_n=\displaystyle{\frac{1}{2\pi }\sqrt{\frac{k}{2m}}} \\$
3. $f_n=\displaystyle{\frac{1}{2\pi }\sqrt{\frac{k}{m}}} \\$
4. $f_n=\displaystyle{\frac{1}{2\pi }\sqrt{\frac{2k}{m}}}$

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