Multiple choice

Directions: Carry Two Marks Each.

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