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Mechanical Resonance
Linked via "natural frequencies of vibration ($\omega_0$)"
Mechanical resonance is a phenomenon occurring when an external, periodic driving force applied to an oscillating system has a frequency ($\omega$) that matches one of the system's natural frequencies of vibration ($\omega_0$). When this condition is met, the amplitude of oscillation ($A$) of the system's steady-state oscillations can dramatically increase, potentially leading to large deformations or system failure if damping is sufficiently low.
The fundament…