Question For the following Laplace domain functions, determine the equivalent time domain functions: a) F(s) = 10 / (s(s+1)(s+10)) b) F(s) = 2(+2)/((s+1)(s2 + 4))

HF1SE5 The Asker · Mechanical Engineering


Transcribed Image Text: For the following Laplace domain functions, determine the equivalent time domain functions: a) F(s) = 10 / (s(s+1)(s+10)) b) F(s) = 2(+2)/((s+1)(s2 + 4))
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Transcribed Image Text: For the following Laplace domain functions, determine the equivalent time domain functions: a) F(s) = 10 / (s(s+1)(s+10)) b) F(s) = 2(+2)/((s+1)(s2 + 4))
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IA3EMM

(a) F(s)=10//(s(s+1)(s+oo)]Solution:Using Partial fraction,{:[(10)/(s(s+1)(s+10))=(A)/(s)+(B)/(s+1)+(c)/(s+10)],[A=|_(s=0)=(10)/(10)=1],[Bf_(s=-1)=(10)/(-1xx9)=(-10)/(9)],[c=|_(s=-10)=(10)/(-10+9)=(-1)/(9)],[F(s)=(1)/(s)-(10)/(9)((1)/(s+1))-(1)/(9)(1)/((s+1))]:}Take inverse Laplace kransform,f(t)=u(t)-(10)/(9)e^(-t)u(t)-(1)/(9)e^(-cot u(t))(b)f(s)=(2(s+2))/((s+1)(s^(2)+4) ... See the full answer