Question

Problem 3: A system has the transfer function: Gfs) -8 +24s+800 35+6 Assuming time for this system is expressed in seconds, if the system is subjected to a periodic input of 4 sin ot, determine a) The frequency o where the amplitude of the output will be at its maximum b) The functional expression for how the output amplitude varies with-the input frequency, c) The functional expression for how the phase of the output with respect to the input varies with the input frequency, d) An expression for the steady state of the output, if the input frequency is 20 rad/s

Answer 1

Amplitude of oulpot is H 64 12246+G + minimm velve of 40 o |-귀 こ 54201-10

Phose is C) tan-1-24 ω -800 200 2. O 65 -1°+ 11-31よー168.61。 sin (cot+4) Amp o t oot pot ะ .65 sin (uol-168-69.