Problem 4 Consider the following system. In the figure, y(t) denotes the displacement of the mass and u(t) denotes the force applied to the mass. b1 u(t) y(t) + b2 M 0000 0000 K1 K2 a) Find the differential equation model of the system. b) Find the state-space model for the system. Write x, A, B, C and D clearly in your answer.

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Problem 4
Consider the following system. In the figure, y(t) denotes the displacement of the mass and u(t)
denotes the force applied to the mass.
b1
u(t)
y(t)
+
b2
M
0000
0000
K1
K2
a) Find the differential equation model of the system.
b) Find the state-space model for the system. Write x, A, B, C and D clearly in your answer.
Transcribed Image Text:Problem 4 Consider the following system. In the figure, y(t) denotes the displacement of the mass and u(t) denotes the force applied to the mass. b1 u(t) y(t) + b2 M 0000 0000 K1 K2 a) Find the differential equation model of the system. b) Find the state-space model for the system. Write x, A, B, C and D clearly in your answer.
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