Answer Happy

Question 3 A damped recoil (spring-damper) system is to be designed to return a mechanical system to its initial position in the shortest possible time without oscillating. The total mass of the system is 1000 kg and the equivalent stiffness of the recoil spring is 10 kN/m. The system is to be designed such that the maximum recoil displacement of the system is 650 mm. (a) Determine the equation of motion and natural frequency of the system. 13] (b) State the equation governing the response for this system and sketch the response of the system as a function of time. [2] (c) Show that the initial velocity in the system is: to = 2.72xmax Wn where Xmax and on are the maximum displacement and natural frequency of the system, respectively [7] (d) Calculate the time taken to get to maximum displacement. [3] (e) Determine the acceleration of the system after 1.0 s. [51