Answer Happy

Question 10 The transfer function relating the input displacement, u(s), to the output displacement, x(s), for a mass-spring-damper system can be expressed as: x(s) u(s) ki ms? + C2s + (ki + k) The parameter values for this system are as follows: m = 2 kg, k1 = 4 N/m, k2 = 4 N/m and C2 = 8 Ns/m. What is the steady-state value of x(t) in response to a step input with magnitude 2.3m? x(t) is measured in metres but you do not need to include units in your answer.
Question 7 The dynamics of a mass-spring-damper system can be modelled using the following transfer function: y(s) 0.65 F(S) S2 +0.912s +0.325 = where y(s) and F(s) are the output displacement and input force respectively. Which of the following plots shows the correct response from this system to a unit step input? 2.5 3.5 (i) (ii) 3 2 2.5 1.5 2 y 91.5 1 1 0.5 0.5 0 0 0 5 5 10 20 25 30 0 5 on 10 20 25 30 15 t(s) 15 t(s) 3 2 (iii) (iv) 2.5 1.5 2 1.5 y 1 y 1 0.5 0.5 0 0 0 0 5 10 20 25 30 5 10 20 25 30 15 t(s) 15 t(s) OL. Plot (1) O II. Plot (10) O III. Plot (ili) IV. Plot (iv)