You can prepare effectively for Electrical Engineering (EE) GATE Electrical Engineering (EE) Mock Test Series 2027 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Modelling of Control Systems - 1". These 10 questions have been designed by the experts with the latest curriculum of Electrical Engineering (EE) 2026, to help you master the concept.
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The electrical time-constant of an armature- controlled dc servomotor is
A mass spring system under equilibrium condition is shown in figure below.

The output displacement x(t) for M = 10 kg is given by
Detailed Solution: Question 2
Two wheels are mechanically coupled as shown in figure below.

Here, ω1 and ω2 = angular velocities (in rad/s)
T1 and T2 = Torque (in N-m)
r1 and r2 = radius of the wheels (in cm)
θ1 and θ2 = angular displacements (in degrees)
N1, and N2 = No. of teeths on wheels
It is given that ω1 = 10 rad/s, N1 = 40, N2 - 20,
T1 = 5 N-m, r1 = 20 cm and θ1 = 20°.
Match List-I with List-ll and select the correct answer using the codes given below the lists:


Detailed Solution: Question 3
The poles-and zeros of the transfer function
for the mechanical system shown below are respectively

Detailed Solution: Question 4
Consider the mechanical system shown in figure below.

Which one of the following circuits shows the force-voltage analogous electrical circuit for the mechanical diagram shown above?
Detailed Solution: Question 5
Match List-I with List-II and select the correct answer using the codes given below the lists:


Detailed Solution: Question 6
Consider the mechanical system shown below:

The system is described by the differential equations:
Detailed Solution: Question 7
Which of the following is not a desirable property of a servomotor in feedback control systems?
Detailed Solution: Question 8
Consider the following statements related to A.C. servomotors compared to D.C. servomotor used in control system applications.
1. It has less efficiency.
2. It is maintenance free.
3. It gives smooth operation.
4. It gives high power output.
Which of these statements is/are true regarding an A.C. servomotor?
Detailed Solution: Question 9
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