Respuesta :
The natural frequency of the vibration will be 12.25 rad/sec.
What is natural frequency?
Mechanical systems, and charged particles all have a frequency that they vibrate at. This frequency is referred to as the resonance frequency or natural frequency.
When a light or sound wave impacts an item that is already vibrating at a specific frequency, and that frequency happens to match the resonant frequency of the thing being struck, you get resonance.
The natural frequency is found by the formula;
[tex]\rm \omega_n = \sqrt{\frac{300}{2}} \\\\ \omega_n =\sqrt{150} \\\\ \omega_n =12.25 \ rad/sec[/tex]
Hence,the natural frequency of the vibration will be 12.25 rad/sec.
To learn more bout the natural frequency refer to the link;
https://brainly.com/question/10464574
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