Question: When a (40-mathrm{kg}) machine is placed on an elastic foundation, its free vibrations appear to decay exponentially with a frequency of (91.7 mathrm{rad} / mathrm{s}).

When a $40-\mathrm{kg}$ machine is placed on an elastic foundation, its free vibrations appear to decay exponentially with a frequency of $91.7 \mathrm{rad} / \mathrm{s}$. When a $60-\mathrm{kg}$ machine is placed on the same foundation, the frequency of the exponentially decaying oscillations is $75.5 \mathrm{rad} / \mathrm{s}$. Determine the equivalent stiffness and equivalent viscous damping coefficient for the foundation.

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