Question: A 50-kg machine tool is mounted on an elastic foundation. An experiment is run to determine the stiffness and damping properties of the foundation. When

A 50-kg machine tool is mounted on an elastic foundation. An experiment is run to determine the stiffness and damping properties of the foundation. When the tool is excited with a harmonic force of magnitude $8000 \mathrm{~N}$ at a variety of frequencies, the maximum steady-state amplitude obtained is $2.5 \mathrm{~mm}$, occurring at a frequency of $32 \mathrm{~Hz}$. Use this information to determine the stiffness and damping ratio of the foundation.

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