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A spring-mass-damper SDOF system is subject to the input excitation shown in the figure below.
m=5kg,k=6((N))/((m)) and \zeta =0.15
a. Write EOMs-not in symbolic terms where possible- for the system for 0<=t<=150sec.
Initial conditions are u(0)=-1m and u^(˙)(0)=1(m)/(s). (5 pts)
b. Plot the response u(t) from 0 to 150 seconds. ( 10 pts )
c. Plot the frequency response function (magnitude) vs frequency (ra(d)/(s)). (10 pts)
d. Plot the phase angle (degree) vs frequency (ra(d)/(s)). (10 pts)
Input Force Function