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 M₁ does not vibrate in the steady state when F(t) = a sin(wot). Obtain the differential equations describing the system. Figure P2.2 Vibration absorber. Force F(t) www M₁ M₂ k12 b Y₂(1) [yi(1)

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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 M₁ does not vibrate in the steady state when
F(t) = a sin(wot). Obtain the differential equations describing the
system.
Figure P2.2
Vibration absorber.
Force
F(t)
www
M₁
M₂
k12
b
Y₂(1)
[3₁(0)
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 M₁ does not vibrate in the steady state when F(t) = a sin(wot). Obtain the differential equations describing the system. Figure P2.2 Vibration absorber. Force F(t) www M₁ M₂ k12 b Y₂(1) [3₁(0)
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