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mwu Q3. a) Consider the mechanical system shown, obtain the transfer function x(s)/P(s), assuming all initial conditions are

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(ANS) 30. Equation of motion for system is : m dan + kottkz (2-y) =P m i +(kitkz) x - Kqy =P K219-1) + b2 dy = 0 S dt apply l☺ in © - P(S) (mg²+ki+kq) x15) - kg | K2 & (5) 7 S Į b2stkz J (mg2+ k,+K2) (625+ P(S) y (s) = bas + kq bast k2 205) 265) P(S)

2 b.

II III III clc; clear all; m=20; b2=12; k1=20; k2=35; sys=tf([b2 k2], [m*b2 m*k2 (k1+2) *b2 k1*k2]); step (sys)

Step Response 0.07 0.06 Amplitude 0.02 0.01 0 2 4 6 12 14 16 18 8 10 Time (seconds)

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