Problem 1 [ 5 Marks]: N8: The results must be displayed on this pare. Calcubtions and staps can be presented in answer bookbet. The measurement system in Figure 2 characterizes a car's suspension and shock absorber dynamics using two piezoelectric accelerometers (A1 and A2) to measure vibrations in the lower arm and steering knuckle. The measurements are saved on a PC through a data acquisition unit Figure 2(b) shows a shaker powered by a pre-defined signal from a function generator and power amplifier is used to shake the suspension system. [a] Figure 2: A car suspension system (a) and the shaking system. (b) Assume that the shaker is excited to vibrate using the following signal, z(t)=6sin(8000t)+3sin(16000t) Where z is the vertical displacement in mm. Knowing that the fundamental frequency of each accelerometer is fn=16000Hz and the damping ratio is 0.70 , answer the followings: 1. Calculate the marnitude ratio M then deduce the maximum dynamic error ec in the z measurement. 2. Plot the amplitude spectrum of the signal. 3. Determine the period T (in millisecond) of the signal z(t). 4- Choose a sampling frequency (fs) (in Hz ) such that the shaker vibration can be acquired accurately. fs= Given equation: M=(1(fnf)2)2+(2fnf)21