A machine weighing 400 kg is mounted on a cantilevered beam which touches a simply supported beam as shown in the figure. The dimensions of both beams are length=1m, width = 0.1m, thickness = 0.02m and E = 210E9Pa. Neglecting the mass of beam.
a. Determine the equivalent spring constant and equivalent damping coefficient for the system which has 10 % of the critical damping.
b. Find the vibration response due to initial displacement of 1cm and plot the time history. (You might need Matlab or excel for this