Multiple choice

A concentrated mass m is attached at the centre of a rod of length 2L as shown in the figure. The rod is kept in a horizontal equilibrium position by a spring of stiffness k. For very small amplitude of vibration, neglecting the weights of the rod and spring, the undamped natural frequency of the system is

  1. $\sqrt{\frac{k}{m}}$
  2. $\sqrt{\frac{2k}{m}}$
  3. $\sqrt{\frac{k}{2m}}$
  4. $\sqrt{\frac{4k}{m}}$
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D Correct answer
Explanation

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