Question: After installation, it was found that a particular machine exhibited excessive vibration due to a harmonic excitation force with a frequency of (100 mathrm{~Hz}). A

After installation, it was found that a particular machine exhibited excessive vibration due to a harmonic excitation force with a frequency of $100 \mathrm{~Hz}$. A dynamic absorber was designed and added to the original system to attenuate this vibration. If the resulting vibration magnitude of the absorber mass was $2 \mathrm{~mm}$ at $100 \mathrm{~Hz}$ and the excitation force magnitude was $25 \mathrm{~N}$, determine the stiffness of the spring $(\mathrm{N} / \mathrm{m})$ and mass $(\mathrm{kg})$ used to construct the absorber. You may neglect damping in your analysis.

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