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Question 1 ) In the given figure, the system is in the static equilibrium position. The mass m is connected to a fixed ground with

Question 1)
In the given figure, the system is in the static equilibrium position. The mass m is connected to
a fixed ground with the spring k, and connected to a table that moves y(t)=Ysint with the
damping element c.
a) Obtain the differential equation of the system using the Lagrange method.
b) Obtain the differential equation of the system using Newton's 2nd Law.
b) Check whether the system is at resonance or not?
c) Obtain the transient response of the system?
d) Obtain the steady state response of the system?
e) Write the general equation of motion for system and x(0)=0msec
d) Plot the system behavior in Matlab and interpret the graph you get.
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