Question: A spring-mass system is found to vibrate with a frequency of 120 cycles per minute in air and 100 cycles per minute in a liquid.

A spring-mass system is found to vibrate with a frequency of 120 cycles per minute in air and 100 cycles per minute in a liquid. Find the spring constant $k$, the damping constant $c$, and the damping ratio $\zeta$ when vibrating in the liquid. Assume $m=10 \mathrm{~kg}$.

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