Question 3(a) A signal applied to a servomechanism system is defined by the function as,f(t) ==52t+190 4(i) Sketch the function(ii) From the signal you have sketched, discuss the limitation of using stepfunction to represent some practical signal.(iii) Show that f(t) = 5u(t)+2(t − 2)U (t− 2) – 2(t –4)U (t – 4)where U(t-2) and U(t−4) are unit step functions.(iv) Hence, determine the Laplace transform of function f(t), i.e. L{f(t)}.

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Answered: (a) A signal applied to a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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(a) A signal applied to a servomechanism system is defined by the function as, 0 4 5 f(t) = 2t+1 9 (i) Sketch the function (ii) From the signal you have sketched, discuss the limitation of using step function to represent some practical signal.