Question: A spring-mass system is set to vibrate from zero initial conditions under a harmonic force. The response is found to exhibit the phenomenon of beats

A spring-mass system is set to vibrate from zero initial conditions under a harmonic force. The response is found to exhibit the phenomenon of beats with the period of beating equal to $0.5 \mathrm{~s}$ and the period of oscillation equal to $0.05 \mathrm{~s}$. Find the natural frequency of the system and the frequency of the harmonic force.

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