Consider the system shown in Figure P35. The equations of motion are Suppose that m 1 =

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Consider the system shown in Figure P35. The equations of motion are

 mä, + (c + c2)x¡ + (k1 + k2)xj - c2x2 – k2x2 = 0 m,*, + c2i2 + k2x2 – C2*1 – kɔx, = f(t) |


Suppose that m1 = m2 = 1, c1 = 3, c2 = 1, k1 = 1, and k2 = 4.

a. Develop a Simulink model of this system. In doing this, consider whether to use a state variable representation or a transfer-function representation of the model.

b. Use the Simulink model to plot the response x1(t) for the following input. The initial conditions are zero.


Figure P35

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