5 MECHO010 2021/22 2. Figure 2 shows a mass-spring-damper system. The ordinary differential equation is given in Egn. 1

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5 Mecho010 2021 22 2 Figure 2 Shows A Mass Spring Damper System The Ordinary Differential Equation Is Given In Egn 1 1 (40.03 KiB) Viewed 50 times

5 MECHO010 2021/22 2. Figure 2 shows a mass-spring-damper system. The ordinary differential equation is given in Egn. 1 in association with the system. fft) m E x(t) Figure 2: Mass-spring-damper system. mx(t) + bx(t) + kx(t) = f(t) Egn. 1 a) Determine the transfer function considering the input force f(t) and output displacement x(t). [1 mark] b) Table 1 gives values for the mass m, damping coefficient b and spring constant k for 5 cases. For each case, answer the following questions: i) Determine the system order, pole location, and stability. ii) Provide an illustration of a step and impulse response. [15 marks) mn b k ſin kg][in Ns/m] [in N/m] Case 1 Case 2 1 1 Case 3 Case 4 0 1 1 Case 5 Table 1: Values for five cases of Question 2b. 0 1 1 0