GATE Civil Engineering
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A simple mass-spring oscillatory system consists of a mass $m$, suspended from a spring of stiffness $k$. Considering $z$ as the displacement of the system at any time $t$, the equation of motion for the free vibration of the system is $m \ddot{z} + kz = 0$. The natural frequency of the system is

  1. $\dfrac{k}{m} \\$
  2. $\sqrt{ \dfrac{k}{m}} \\$
  3. $\dfrac{m}{k}\\$
  4. $\sqrt{ \dfrac{m}{k}}$
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