A 0.25 kg electronic control module (ECM) for an automobile engine is to be mounted on top of the car fender inside the engine compartment (see figure below). The ECM is mounted onto an isolator with stiffness, k = 15.8 kN/m and S = 0.1, to protect it from fatigue and breakage. As the system is tested, an accelerometer mounted on the car fender near the ECM recorded the data presented in the graph below. (a) Determine the required natural frequency and natural period for the ECM system. (10 PTS) (b) Determine the shock transmissibility (Ts) for the ECM system. (5 PTS) (c) Determine the maximum acceleration of the ECM. (5 PTS) (d) If the ECM can withstand forces of up to 250 N, will the ECM survive the test? Justify your response for full credit. (10 PTS) Car body Electronic control module Car Fender Acceleration 80 G Engine Isolation mounting 0.015 s