An electronic control system for an automobile engine is to be mounted on top of the fender inside the engine compartment. It is desirable to isolate the module from the vibration induced in the car by road and engine vibration. Design an isolator (i.e. pick stiffness k) if the mass of the module is 3 kg and the vibration of the fender is y(t)=.01sin(35t). It is desired to keep the displacement of the module less than 0.005 m at all times. Once the stiffness value of the isolator is chosen, calculate the magnitude of the force transmitted to the module through the isolator.