Question: ( 3 0 % ) Problem 1 : In the mechanical system shown below, assume that the input is the displacement u and the output

(30%) Problem 1:
In the mechanical system shown below, assume that the input is the displacement u and the output is the displacement x. The displacement x is measured from the equilibrium position.
a. Draw the FBD and derive the equation of motion for the system.
b. Solve for the output x(t) at the steady state when u(t)=Usint.
c. Sketch the steady-state amplitude vs. the input frequency .
d. Sketch the steady-state phase-angle vs. input frequency .
( 3 0 % ) Problem 1 : In the mechanical system

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