A mass-spring-damper system has the following parameters: m = 1kg, c = 6Ns/m, k = 25N/m....

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A mass-spring-damper system has the following parameters: m = 1kg, c = 6Ns/m, k = 25N/m. Using the Laplace transform, its unit step response is given as Y(s) 20 25 = *+6 (83)2+16 (a) Use the inverse Laplace transform to verify that the time response is y(t)= = [1-³ (cos(4) sin(4t) (b) Find the value of the overshoot, and the peak time. A mass-spring-damper system has the following parameters: m = 1kg, c = 6Ns/m, k = 25N/m. Using the Laplace transform, its unit step response is given as Y(s) 20 25 = *+6 (83)2+16 (a) Use the inverse Laplace transform to verify that the time response is y(t)= = [1-³ (cos(4) sin(4t) (b) Find the value of the overshoot, and the peak time.