A small rotating machine with mass m-75 kg is lying on an elastic foundation. The steady state excitation provided when the machine is operating is a simple harmonic force F = 1020 N. Design the foundation (i.e. calculate the pair k and c) such that the steady state displacement is 50% of the static deflection. Hint: In your calculation ignore the static deformation due to the weight of the system. Use the curve of the magnification factor provided below to identify the natural frequency of the system. A 10 100 10-1 0 0.5 1 1.5 T= 22 Wil 2 (=0.01 -C=0.05 -C=0.1 (=0.2 -C=0.4 (=0.6 2.5 3