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Resonance will produce large vibration amplitudes, which
Chapter , Problem 9.18(choose chapter or problem)
Resonance will produce large vibration amplitudes, which can lead to system failure. For a system described by the model
\(\ddot{x}+64 x=0.2 \sin \omega t\)
where x is in feet, how long will it take before |x| exceeds 0.1 ft, if the forcing frequency \(\omega\) is close to the natural frequency?
Questions & Answers
QUESTION:
Resonance will produce large vibration amplitudes, which can lead to system failure. For a system described by the model
\(\ddot{x}+64 x=0.2 \sin \omega t\)
where x is in feet, how long will it take before |x| exceeds 0.1 ft, if the forcing frequency \(\omega\) is close to the natural frequency?
ANSWER:Step 1 of 3
Consider the system model,
Compare above equation with standard equation 
Therefore
Now the angular frequency is given by,
Substitute the above calculated values of 
