Chapter 16, Problem 16.37P

From the following mass-spring system, obtain its transfer function and pole-zero wwwwwwww wwww diagram in MATLAB. Analyze how stability varies when entering values. wwwww (4)x1 ▷ x(t) M f(t) B f(t) is the input variable and x(t) is the controlled variable.

R2 L3 C5 BRF_OUT HH Sine_OUT 100 1m 100n C3 C4 100n 100n Figure 9. Square to sine waveform converter circuit How do we make sense of this? First, we note that R2 and C3 form a first order low pass filter and L3 and C4 form another low pass filter. Both low pass filters have been set at the same cutoff frequency. The combination of both form a two stage filter to remove the high frequency content present in the DAB signal. Capacitor C5 is used to remove any residual DC offset in the signal. But let's just deal with the AC steady state response, which means that you don't need to know any of these details, and then can conveniently treat this circuit as a blackbox. What is the theoretical cutoff frequency for the RC and LC filters shown in Figure 9? Answer to within 1% accuracy. (a) RC Filter cutoff frequency (f 1) = kHz

For the following steady-state AC circuit, find the complex output voltage, VO, shown in the diagram. Write the answer in polar form (angles in degrees), accurate within 1%. L1=0.7H, L2=5H, C=14F, R=0.60, and w=0.7 rad/s L1 m Vo R Vs 5/30°V Answer: ய ww L2 23