P2.2 A dynamic vibration absorber is shown in Figure P2.2. This system is representative of many situations involving the vibration of machines containing unbalanced components. The parameters M2 and k12 may be chosen so that the main mass Midoes not vibrate in the steady state when F(t)=asin(wot). Obtain the differential equations describing the system.

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P2.2 A dynamic vibration absorber is shown in Figure P2.2. This system is representative
of many situations involving the vibration of machines containing unbalanced components.
The parameters M2 and k12 may be chosen so that the main mass Midoes not vibrate in
the steady state when F(t)=asin(wot). Obtain the differential equations describing the
system.
b
Force
F(t)
M1
k12
M2
y2(t)
Figure P2.2 Vibration absorber.
Transcribed Image Text:P2.2 A dynamic vibration absorber is shown in Figure P2.2. This system is representative of many situations involving the vibration of machines containing unbalanced components. The parameters M2 and k12 may be chosen so that the main mass Midoes not vibrate in the steady state when F(t)=asin(wot). Obtain the differential equations describing the system. b Force F(t) M1 k12 M2 y2(t) Figure P2.2 Vibration absorber.
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