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Assume that this structure is excited by a shaker placed at the roof level. As the design engineer of consulting firm, you are asked to write the equations of motion for the structure, propose reasonable values for the parameters of the equation of the motion, and suggest an instrumentation and test procedure for further calibrating the parameters using the test results As Phase 1 deliverables, please the following: 8. Find Rayleigh damping coefficients by assuming 5% damping ratio for the first two modes and calculate the system response in terms of floor displacements velocities, and acceleration Plot the displacement, velocity, and acceleration at 1st and 3rd floors in doing so consider the cases in which load frequency is a. Half of the first vibration frequency ($1), 6. Exactly equal to the first vibration frequency ($1). C.1more than the first vibration frequency ($1), d Interpret the qualitative features of the responses you plot (52) L (CUD