Step 1: Develop a model. Provide a justification for why you chose one, two, or multi-DOF model.
? Step 2: Write the equations of motion (EOM). You can use the Newton Euler or Lagrange’s method to derive EOM but do not write it in the report.
? Step 3: Find natural frequencies and mode shapes of the system.
? Step 4: Write a general solution for the free vibrations case. As initial conditions are not given, do not find unknown constants.
? Step 5: Design a vibration isolator as per the problem (Use MATLAB to plot solutions and confirm that it meets the design specifications). Try different m, k, and, c but finally report which meets the design specifications.