You are considering a system mä + cả + ka = Fo sin(wt). Initially, the damping ratio is = 0.01. If the damping ratio is reduced by 100x (becomes 5 = 0.0001), by how much would the amplitude at resonance change ?

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Vibrations - please help
You are considering a system
Fo sin(wt). Initially, the damping
ratio is = 0.01. If the damping ratio is reduced by
100x (becomes 5 = 0.0001), by how much would
më + cả + kx =
the amplitude at resonance change ?
Transcribed Image Text:You are considering a system Fo sin(wt). Initially, the damping ratio is = 0.01. If the damping ratio is reduced by 100x (becomes 5 = 0.0001), by how much would më + cả + kx = the amplitude at resonance change ?
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Solution:-Given thatmx¨+cx˙+kx=FoSinωtζi=0.01ξf=0.0001Resonancei.e. ω=ωnωωn=1

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