An accelerometer consisting of an elastic element and a potentiometric displacement sensor has to meet the following specification: Input range = 0 to 5g Output range = 0 to 10 V Natural frequency = 10 Hz (a) Damping ratio = 0.8 Maximum non-linearity = 2% of f.s.d. Seismic mass = 0.005 kg Calculate the required spring stiffness and damping constant. What should the input displacement range of the potentiometer be? (g = 9.81 m s) If the accelerometer is to be used with a recorder of 10 k2 resistance, what is the maximum allowable potentiometer resistance?