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Mechanical Frequency
Linked via "mass"
Theoretical Basis and Derivation
For the simplest mechanical system—the ideal harmonic oscillator—characterized by a mass/) ($m$) connected to a spring/) with stiffness ($k$)—the derivation of mechanical frequency is straightforward. Assuming negligible damping- (i.e., adherence to Hooke's Law and idealized Newtonian dynamics, the natural frequency is defined by the relationship:
$$\nu_m = \frac{1}{2\pi} \sqrt{\f…