Identify response of the following mass-spring-damper system ä + 8& + 12x = f(t), assuming zero initial conditions and the forcing function f(t) is a step function of magnitude 2, as shown in figure below: f(t) O a(t) = (Ge &t +e 24 + 1) 3 O a(t) = ¿(Ge- - e 2 +1) -6t 3 O x(t) = (;e-6t -že-4 – 1) O #(t) = (Ge +e 4 - 1) -2t 2.

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Identify response of the following mass-spring-damper system ä + 8& + 12x = f(t), assuming
zero initial conditions and the forcing function f(t) is a step function of magnitude 2, as shown in
figure below:
f(t)
O x(t) = ÷(÷e
-6t
+ že 2t +1)
O ¤(t) = ¿(;e-6f - e-4 +1)
O «(t) = ¿(Ge-6t - že-4 – 1)
O a(t) = Ge + e 24 - 1)
-6t
-2t
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Transcribed Image Text:Identify response of the following mass-spring-damper system ä + 8& + 12x = f(t), assuming zero initial conditions and the forcing function f(t) is a step function of magnitude 2, as shown in figure below: f(t) O x(t) = ÷(÷e -6t + že 2t +1) O ¤(t) = ¿(;e-6f - e-4 +1) O «(t) = ¿(Ge-6t - že-4 – 1) O a(t) = Ge + e 24 - 1) -6t -2t Next » MacBook Pro 000 000 F2 F3 DD F4 F5 F6 F7 F8 F9 F10 @ #3 2$ % & * 2 3 4 7 8. E R T Y U
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