The natural frequency of a spring-mass system is given by $\omega_n = \sqrt{k/m}$, where $k$ is the spring stiffness and $m$ is the mass. Both $k$ and $m$ are intrinsic properties of the system and do not change with location. Therefore, the natural frequency is independent of the acceleration due to gravity.
The natural frequency of a spring-mass system on earth is $\omega_n$. The natural frequency of this system on the moon ($g_{\text{moon}} = g_{\text{earth}}/6$) is - (1) \omega_n$ - (4) $0.167 \omega_n$ - (5) Question not attempted
Asked in Assistant Eng. (Mechanical) Competitive Examination, 2023 · Topic: Mechanics (Simple Harmonic Motion and Damped/Forced Oscillations)
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