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Physics 1 Final - Part 4 of 4
SAMPLE

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17. Periodic Motion / Energy in Pendulums / Problem 3

Consider a mechanical system named "ResonantMech" that acts as a driven harmonic oscillator. When it operates at its resonance frequency of 419 Hz, the system's amplitude peaks at 25.7 F₀ / k. Determine the Q (quality factor) of this system. [Hint: A0=(F0m)(ω2ω02)2+(ωbm)2A_{0}=\frac{\left(\frac{F_{0}}{m}\right)}{\sqrt{\left(\omega^{2}-\omega_{0}^{2}\right)^{2}+\left(\frac{\omega b}{m}\right)^{2}}} and Q=mω0bQ=\frac{m \omega_{0}}{b}]

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