11 a)

b)

12

13 a)

b)

14 a)

03000EE303092001

Fig.1

Derive the step response of a first order system for a unit step input. Draw the (5)

input and output response of the same.

Obtain the electrical analogous of the mechanical system shown in Fig.2 using

Force current analogy. Here T is the input torque,.Q, and ©, are angular

velocities at J; and 12.

(5)
PART 6
Answer any two full questions, each carries 10 marks.
Sketch the root locus of the open loop system G(s)H(s)=——~—— , (10)

s(s+2)(s+3)
determine the marginal value of K for stability. Also mark this value of K on the
root locus plot.
Find the — stability of a system having characteristic equation (5)
5 + 255 + 75* + 1053 + 1457 + 85 + 8 = 0
Check whether the point 5 = —1 lies on the root locus of the open loop system (5)

G(s)H(s) =

K ⋅ ⋅⋅
−∐⊱⋯≣⋮⋯⊰⇂⊜∁∘∏⋔⊔∘∏⋅
∙≖≼∙∓⊹≵⊃⊏≖⊹∃⋮∎

Determine the position , velocity, acceleration error coefficients for the unity (6)

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