The differential equation for the motion of a unit mass on a certain coil spring under the action of an external force of the form F(t) = 30coswt is d²x dx +4+ 24x = 30cosat. dt dt Find the resonance frequency and determine the amplitude of the steady-state vibration when the forcing function is in resonance with the system.
The differential equation for the motion of a unit mass on a certain coil spring under the action of an external force of the form F(t) = 30coswt is d²x dx +4+ 24x = 30cosat. dt dt Find the resonance frequency and determine the amplitude of the steady-state vibration when the forcing function is in resonance with the system.
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Transcribed Image Text:The differential equation for the motion of a unit mass on a certain coil spring under the action
of an external force of the form F(t) = 30coswt is
d²x
dx
dra +4 7+ 24x = 30coswt.
dt
Find the resonance frequency and determine the amplitude of the steady-state vibration when
the forcing function is in resonance with the system.
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