For the second order instrument in problem 4, find M(m) and o (m) for the components of the input signal F(t) =4 sin(2m(0.223)t) sin(27(1)t) + 0.5 sin(2a(1.87)t). What is the resonance frequency of this instrument? Plot M(o) and o (m) vs. log(m /o,) on two separate plots. Include M(@) and o (0) points for F(t) on the appropriate plot. List each component of F(t) and whether it will be transmitted, filtered, or augmented by the instrument. Plot the input and output signals vs. time on the same graph. 4. For a second order instrument with sensitivity of 0.35 V/(m/s), ao = 10.5 F', a = 1 0 and as = !! 0.2143 H, estimate the natural frequency, damping coefficient, and ringing frequency of the instrument. Plot the input and output signals for an input signal of F(t) = (4.4 m/s) U(). Determine the 90% rise time and settling time from the plot. Label the transient and steady parts of the curve.