A viscously damped system has a damping ratio = 0.08 and natural frequency wr = 10.63 radians per second. The system is displaced through 500mm and left to undergo undamped free vibration. Calculate the initial amplitude of vibration. Hence determine the number of cycles required to reduce the motion to 25% of the initial amplitude.

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A viscously damped system has a damping ratio = 0.08 and natural frequency wr = 10.63 radians per
second. The system is displaced through 500mm and left to undergo undamped free vibration. Calculate
the initial amplitude of vibration. Hence determine the number of cycles required to reduce the motion to
25% of the initial amplitude.
Transcribed Image Text:A viscously damped system has a damping ratio = 0.08 and natural frequency wr = 10.63 radians per second. The system is displaced through 500mm and left to undergo undamped free vibration. Calculate the initial amplitude of vibration. Hence determine the number of cycles required to reduce the motion to 25% of the initial amplitude.
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