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Posted: **Fri May 20, 2022 9:58 pm**

: Q4 A Mass Spring Damping System Is Shown In Figure 04 X T K F T M Figure 24 Mass Spring Damping System Equation 1 (37.41 KiB) Viewed 16 times

: Q4 A Mass Spring Damping System Is Shown In Figure 04 X T K F T M Figure 24 Mass Spring Damping System Equation 2 (37.41 KiB) Viewed 16 times

: Q4 A Mass Spring Damping System Is Shown In Figure 04 X T K F T M Figure 24 Mass Spring Damping System Equation 3 (37.41 KiB) Viewed 16 times

Q4 A mass-spring-damping system is shown in Figure 04. x(t) k f(t) m + Figure 24. Mass-spring-damping system. Equation (04) below describes the input (f(t)) and output (x(t)) function obtained from Newton's law: f(t) = m + de + k + x() (24) where k = 1kN/m, d = 20N-s/m, m = 1kg. (a) With the given input/output and Equation (Q4), calculate the transfer function. Denote this transfer function as G(s). (5 marks) (b) Calculate the poles of this system and assess its stability. (5 marks) (c) Calculate the impulse response of this system. Show details of your calculation. (5 marks) (d) Calculate the step response for the sampling points given in Table 04. Show details of calculation (10 marks) Table Q4. Sampling points for step response. T (sec) 0.01 0.02 x(t) 0 0.05 0.1 0.3 TOTAL MARKS FOR Q4:25