Problem 2 (5 points) A 50 kg machine is mounted on a support that is modeled a spring and a damper, as shown in the figure. The support stiffness is measured to be 20 kN/m. When the machine is running, it experiences a force F(t) =25cos20t N. Design a damper (choose a value of c) such that the maximum deflection at steady-state is 5 mm.

Fig: 1

Fig: 2