The lunar excursion module has been modeled as a mass supported by four symmetrically located legs, each of which can be approximated as a spring-damper system with negligible mass. Design the springs and dampers of the system in order to have a damped period of vibration between 1 sec and 2 sec. Assume all the legs are identical. Hint: Model the system as a 1-dof second-order system in the form where is the vertical displacement of the lunar module