lOMoARcPSD|52870855 Exam 2018, questions and answers Electronics Engineering (Mapúa University) Scan to open on Studocu Studocu is not sponsored or endorsed by any college or university Downloaded by Danielle Fenola (daniellefenola@gmail.com) lOMoARcPSD|52870855 QUIZ # 1 3. In a block diagram, the arrow represent the ___. A. mathematical method B. control elements C. signal flow D. status 4. A series combination of a 3H inductor and 0.5F capacitor is in parallel with a 1ohm resistor. The combination is in series with a 2H inductor and source voltage. Determine the transfer function relating the resistor voltage to the source voltage. 3π 2 +2 A. π 3 +0.83π 2 +0.67π +0.33 0.5π 2 +0.33 B. π 3 +0.83π 2 +0.67π +0.33 0.5π 2 +0.33 C. π 3 +5π 2 +4π +2 π 2 +0.67 D. π 2 +0.33π +0.67 5. “Edward John Routh extended the stability systems” refers to ____. A. Stability Criterion for a Secondorder System B. B. Stability Criterion for a Thirdorder System C. C. Stability Criterion for a Fourth-order System D. D. Stability Criterion for a Fifthorder System 6. Who invented a water clock, operated by having water trickle into a measuring container at a constant rate. A. Ktesibios B. Watt C. Maxwell D. Bode 7. For the proportional controller, the control signal u(t) is related to the error signal e(t) by the equation…. A. e(t) = K u(t) B. u(t) = Kp e(t) C. u(t) = K de(t)/dt D. u(t) = K * integral e(t)dt 8. What is the Laplace transform of a function π‘ 2 . A. 2π 3 B. 1/π 2 C. 2/π 3 D. D.1/π 3 9. The output signal is fed back so that it subtracts from the input signal. A. Negative feedback (ata) B. Positive feedback C. Control system D. Loop gain 10. Bode made it possible for engineers to design linear closed-loop control systems that satisfied the performance requirements. A. Servomechanism B. Stability of Closed-loop Systems by Sinusoidal Inputs C. Stability Criterion for a Thirdorder System D. Frequency response 11. The physical interpretation for the constant velocity is the _____ input. A. Step B. Ramp C. Parabola D. Quadratic 12. More than one controlled output and command input. A. MIMO B. Output C. SISO D. Input Downloaded by Danielle Fenola (daniellefenola@gmail.com) lOMoARcPSD|52870855 C. Ramp D. Parabolic 13. The impedance of 5 Farad is…. A. 0.2s B. 0.2/S C. 4s D. 5/S 14. Find the homogenous solution of 5πππ‘ 4ππ‘ = ππ‘ ππ‘ A. πΆ1 π −4π‘ + πΆ2 π‘π −π‘ B. πΆ1 π −4π‘ + πΆ2 π −π‘ C. πΆ1 π −4π‘ + πΆ2 π π‘ D. π −π‘ (πΆ1 πππ 4π‘ + πΆ2 π ππ4π‘) π 2 ππ‘ + ππ‘ 2 15. An impulse test input is used for transient response and _____. A. Modelling B. Steady state error C. Stability D. Cost check 16. It is used to have the same signal or variable be an input to more than one block or summing point. A. Plant B. Take off-point C. Feedback elements D. Feedforward elements 20. Find the transfer function represented by dc(t)/dt + 4c(t) = r(t). A. 4/(s+2) B. 2/(s+4) C. 1/(s+2) D. 1/(s+4) 21. Consider a system with the closed-loop transfer function 22. Reference input signal r plus or minus the primary feedback signal b. A. Controlled Output B. Actuating Signal C. Control Signal D. Reference Input 23. . 24. . 25. . 26. . 27. . 28. What is the Laplace transform of 2sin5t? 10 A. 2+5 B. C. 17. What did James Watt invent? A. Steam Engine Speed Control B. Liquid Level Control C. Acceleration Control D. Steam Pressure Control D. π 5 π 2+25 2π π 2+25 10 π 2 +25 18. An arrangement, set, or collection of things connected or related in such a manner as to form an entirely or whole. A. Feedback B. System C. Graph D. Control system 29. The product of branch gains found by traversing a path that starts at a node and ends at the same node, following the direction of the signal flow, without passing through any other node more than once. A. Node B. Forward path gain C. Loop gain D. Non-touching loop gain 19. A linearly increasing response results if the input is ____. A. Impulse B. Step 30. When dealing with transfer functions, it is assumed that initial conditions are ____. A. Infinite Downloaded by Danielle Fenola (daniellefenola@gmail.com) lOMoARcPSD|52870855 B. Negative C. Zero QUIZ # 2 31. Which of the following is included in the main criteria of a control system’s performance? A. SENSITIVTY B. Cost C. Appearance D. Transient response 32. An RL series network has R=2ohms, L=0.25Henry and an applied voltage. What is the transfer function relating the circuit current to the applied voltage, I(s)/V(s)? A. 4/(s+8) B. 8/(s+4) C. 2/(s+2) D. 4/(s+4) 1. It is the torque produced by a mechanical device whose output rotational speed is zero. A. No load B. Stall C. Degree of freedom D. Drag 2. A gear system has a drive gear with N1 = 12 and driven gear with N2 = 24. If a torque T(s) is applied at the driven gear, what is the torque at the driven gear? A. 4T(s) B. 2T(s) C. 2.5T(s) D. 0.5T(s) 3. Find Jm, given the system shown below. 33. For an non-inverting op-amp, what is Vo(s)/Vi(s) if Z1=2 ohms and Z2=4+2i ohms? A. –(2+1i) B. 14-2i C. 3+i D. –Z1/Z2 A. B. C. D. 34. Determine Vo(s)/Vi(s). 7 273 3 2 4. Find the transfer function X1(s)/F(s). A. B. C. D. –(0.5s+5)/(s+5) (1.5s+10)/(s+5) (0.5s+0.5)/(s+5) –(s+5)/(0.5s+5) 35. What is the inverse Laplace of 4/(π 2 + 3π + 2)? A. 2(π −π‘ − π −2π‘ ) B. 4(π −π‘ − π −2π‘ ) C. 4(π −π‘ + π −2π‘ ) D. 2(π −π‘ + π −2π‘ ) A. B. C. D. 0.2/(π 2 + 0.8π + 1) 1/(5π 2 + 4π ) 1/(55π 2 + 4π + 5) 0.2/(π 2 + 0.8π ) Downloaded by Danielle Fenola (daniellefenola@gmail.com) lOMoARcPSD|52870855 5. Determine the equivalent inertia of the system, when reflected at the gear with the displacement Ο΄3. A. J4+J5+(J2+J3)(N2/N1)^2+J1(N4 N2/N3N1)^2 B. J4+J5+(J2+J3)(N3/N2)^2+J1(N3 N2/N4N1)^2 C. J4+J5+(J2+J3)(N3/N4)^2+J1(N4 N1/N4N2)^2 D. J4+J5+(J2+J3)(N4/N3)^2+J1(N4 N2/N3N1)^2 D. 2 8. For the dc motor shown, find Dm. A. B. C. D. 2 3 512 8 9. Given: 6. Given: M1=2; M2=1; K1=K2=1; fv=1; fv=2 Give the equation of motion at M1. M1=2; M2=1; K1=K2=1; fv=1; fv=2 What is the motion equation at M2. 0 = -X1(s) + (π 2 + 3π + 2)π2(π ) A. B. 0 = -X1(s) + (2π 2 + 3π + 2)π2(π ) C. F(s) = -X1(s) + (π 2 + 3π + 2)π2(π ) D. 0 = -2X1(s) + (π 2 + 3π + 2)π2(π ) 7. For a certain motor and load system, the torque-speed curve is given by Tm=4wm+50 at 25V. Determine the constant Kb. A. 0.5 B. 3 C. 4 A. 0 = (2π 2 + π + 2)π1(π ) + π2(π ) B. F(s) = (2π 2 + π + 1)π1(π ) − π π2(π ) C. F(s) = (2π 2 + π + 1)π1(π ) − π2(π ) D. F(s) = (π 2 + π + 1)π1(π ) − π2(π ) 10. A gear system has a drive gear with N1 = 12 and driven gear with N2 = 30. The angular displacement at the driven gear is Ο΄. What is its equivalent angular displacement at the drive gear? A. 4Ο΄ B. 2.5Ο΄ C. 0.16Ο΄ D. 0.4Ο΄ 11. A dc motor develops 55 N-m torque at a speed of 600 rad/s when 12 volts are applied. It stalls out at this voltage with 100 N/m of torque. Find Kb. A. 0.12 Downloaded by Danielle Fenola (daniellefenola@gmail.com) lOMoARcPSD|52870855 B. 0.009 C. 8.33 D. 111.11 A. B. C. D. 0.5 sec 1.1 sec 2 sec 2.2 sec 12. Find X2(s)/F(s). A. B. C. D. (π + 1)/(π 2 + 2π + 2) s/(π 2 + 2π + 2) -(π + 1)/(π 2 (π 2 + 2π + 2)) (π + 1)/(π 2 (π 2 + 2π + 2)) 13. The impedance of a mechanical component 2N-s/m is ____. A. 0.5s B. 2s C. 2 D. 2π 2 14. Linearly independent motion is also known as ____. A. Impedance B. Pivot points C. Meshes D. Degrees of freedom QUIZ # 3 1. What type of 2nd order system is G(s)=225/(π 2 + 32π + 256)? A. Undamped B. Overdamped C. Underdamped D. Critically-damped 2. A series RL network has an applied voltage v(t). Find the rise time of the circuit current i(t), if R=1 ohm and L=0.5 ohm. 3. Given the system transfer function G(s)=98/(π 2 + 6π + 196). What is the damping ratio? A. 0.214 B. 14 C. 0.671 D. 1 4. The poles of a 2nd order system is -3+j8. What is its damping ratio? A. 0.351 B. 0.544 C. 8.644 D. 3 5. Underdamped systems with equal imaginary poles but different real poles have the same ____. A. Settling time B. Rise time C. Peak time 6. Given the system transfer function G(s)=98/(π 2 + 6π + 196). What is the peak time? A. 0.23s B. C. 0.27s D. None of these 7. If the settling time of a first order system is 0.5 sec, what is its transfer function in general form? A. 0.5/(s+0.5) B. 4.4/(s+4.4) C. 4/(s+4) D. 8/(s+8) Downloaded by Danielle Fenola (daniellefenola@gmail.com) lOMoARcPSD|52870855 8. What does the zeros and the poles generate the for both the forced and the natural frequency? A. Time B. Speed C. Overshoot D. Amplitudes 14. What poles generate the form of the steady-state response? A. Feedback poles B. Input poles C. Transfer function poles D. Zeros 9. It is the time for the response go from 10% to 90% of the steady-state value. A. Peak time B. Rise time C. Settling time D. Time constant 15. What type of 2nd order system is G(s)=500/(π 2 + 40π + 900)? A. Undamped B. Overdamped C. Underdamped D. Critically damped 10. Given the system transfer function G(s)=98/(π 2 + 6π + 196). What is the step response? 16. Obtain the closed-loop transfer function. A. 1-π −π‘ -3t(cos13.7t+0.219sin13.7t) B. 1-π −π‘ -11.62t(cos3t+0.258sin3t) C. D. 0.5(1-π −π‘ -3t(cos13.7t+0.219sin13.7t) 0.75(1-e3t(cos11.62t+1.03sin11.62t) 11. What is the damping ratio of G(s)=225/(π 2 + 32π + 256)? A. 0.703 B. 0.75 C. 0.5 D. 16 12. Given the system transfer function G(s)=98/(π 2 + 6π + 196). What is the approximate value of the rise time? A. 0.15s B. 1.8s C. 2.89s D. 0.13s 13. Given the system transfer function G(s)=98/(π 2 + 6π + 196). What is the exponential decay frequency? A. 1 B. 3 C. 0.25 D. 11.62 A. 1 2 1 π + 2 1 B. π +1 C. D. 4 π +4 1 2 π +1 17. It is the frequency oscillation of a second-order system that has no damping. A. Natural B. Exponential decay C. Damped D. Neper 18. What are the values of s/a that cause the transfer function to become infinite? A. Time B. Gain C. Zeros D. Poles Downloaded by Danielle Fenola (daniellefenola@gmail.com) lOMoARcPSD|52870855 D. 0.25s 19. A negative unity feedback system has a forward transfer function K/(s+2). Find K so that the rise time is 0.25s. A. 4.4 B. 8.8 C. 6.8 D. 7.8 20. The poles of a 2nd order system are 2+j1.5. What is its natural frequency? A. 0.8 B. 1.5 C. 7 D. 2.5 21. If a pole is moved with a constant imaginary part, what will the frequency responses have in common. A. % overshoot B. Settling time C. Peak time D. Amplitude 22. If G1(s)=900/(s+900) and G2(s)=90/(s+90), which of the two systems has a faster response? A. G1(s) B. G2(s) C. Neither D. Cannot tell 23. Find D if %OS=20% and settling time is 2s for an input of step torque. A. 0.26 B. 1.04 C. 1.02 D. 0.46 25. For the system shown, find the rise time of the step response. A. B. C. D. 4.4 sec 2.2 sec 8 sec 0.5 sec 26. Given G1=s+2 and G2=2/(2s+8). Find the peak time of the step response, if G1 is a negative feedback of G2. A. 1.62 sec B. 1.49 sec C. 8 sec D. 1.94 sec 27. It gives an indication of the speed of the response. A. Peak time B. Overshoot C. Time constant D. Amplitude 28. Given the system transfer function G(s)=98/(π 2 + 6π + 196). What is the value of the settling time? A. 0.23s B. 1.33s C. 1.67s D. 7.2s 29. A series RL network has an applied voltage v(t). Find the time constant of the circuit current i(t), if R=1 ohm and L=0.5 ohm. 24. What is the time constant a first order system has G(s)=10/(s+4)? A. 0.2s B. 0.1s C. 0.5s Downloaded by Danielle Fenola (daniellefenola@gmail.com) lOMoARcPSD|52870855 A. B. C. D. 1.1 sec 0.5 sec 2 sec 1 sec πΊ (π ) = 30. Given the transfer function G(s)=225/(π 2 + 32π + 256). Find the %OS. A. 15.45 B. 28.38 C. 4.48 D. 14.48 31. A negative feedback system has a forward transfer function 1/(s+1) and feedback transfer function s+1. Obtain the time constant of the overall transfer function. A. 1 sec B. 2 sec C. 0.25 sec D. 0.5 sec QUIZ # 4 1. Given: A unity feedback system with a forward transfer function shown below, identify the number of poles in the RHP, LHP, and jw. A. B. C. D. 2jw 2HP 3LHP 4jw 3LHP 3RHP 4LHP 4RHP, 3LHP 2. The steady-state error of a unity negative feedback system given the open-loop transfer function 20(π +1) (π +3)(π 2 )(π +4) and a ramp input is A. 0 B. 0.6 C. Infinity D. 0.545 3. Which of the following sentences states the condition for an even polynomial? A. The roots are on LHP B. The roots are on RHP C. The roots are symmetrical with the origin D. All of these 4. The forward transfer function of a unity feedback system is πΊ (π ) = πΎ . Determine the value (π +1)(π 2 −6π +25) of K that will cause the system to be marginally stable. A. 192 B. 217 C. 25 D. 515.7 5. The proportional error constant of a unity negative feedback system given the open-loop transfer function 200 π 2 +12π +400 A. B. C. D. is ____. Zero Infinity 2 0.5 6. A system has Ka=3. What steady state error can be expected from an input of 10tu(t) A. Infinity B. 3.33 C. 0 D. 2 Downloaded by Danielle Fenola (daniellefenola@gmail.com) lOMoARcPSD|52870855 7. For the system shown, find the steady state error for an input 50u(t). 11. A unity feedback system with a forward transfer function πΊ (π ) = 20(π +1) (π +3)(π 2 )(π +4) is ____. A. Type 0 B. Type 2 C. Type 1 A. B. C. D. 37.5 16.67 Unstable 0.75 12. A negative unity feedback system, with a forward transfer function πΊ (π ) = 8. A marginally stable system has an even polynomial 3.2s^2+38.4. What is the frequency of oscillation? A. 3.46 rad/s B. 12 rad/s C. 9.60 rad/s D. 6.20 rad/s 9. For a negative unity feedback system with a forward transfer functionπΊ (π ) = 5000 of 0.01. The natural frequency of the close-loop system is 5 rad/sec. Find function K and a. A. K=100, a=1 B. K=10, a=100 C. K=0.25, a=25 D. K=25, a=0.25 13. The system below is , find the 10. For the system below, find the finite steady state error. 0.65 0.5 1 0.75 , is to have a steady-state error π (π +75) steady state error for an input 5tu(t). A. 0 B. 66.67 C. 0.075 D. Infinity A. B. C. D. πΎ π (π +π) A. Marginally stable B. Stable C. Unstable 14. Given the denominator polynomial of the overall transfer function of a system: s4+10s3+5s2+5s+2. Determine number of RHP, LHP and jw poles. A. 4LHP, 0RHP, 0jw B. 2LHP, 0RHP, 2jw C. 2LHP, 2RHP, 0jw D. None of these 15. A system has Kp=3. What steady-state error can be expected from an input of 8u(t). A. 2.67 Downloaded by Danielle Fenola (daniellefenola@gmail.com) lOMoARcPSD|52870855 B. 0.33 C. 0 D. 2 16. For a negative unity feedback system with a forward transfer function. πΊ (π ) = 450(π +12)(π +8)(π +15) π (π +38)(π 2 +2π +28) , find the steady state error for an input 37tu(t). A. 0.057 B. 16.46 C. 6.075X10-2 D. 0 17. A linearly increasing response results if input is ____. A. Impulse B. Step C. Ramp D. Parabolic 18. Find K for a steady state error of 0.5. 20. It is the fractional change in the function cause by the fractional change in a parameter. A. System type B. Gain margin C. Phase margin D. Sensitivity QUIZ # 5 1. It is the controller that will improve the transient response a. P b. I c. D d. On/Off 2. Continuous control is often called ___ control a. Slow b. Modulating c. On/Off d. None of these 3. The PI mode of control is the best mode of control a. True b. False A. B. C. D. 0.5 0 2 1 19. For a negative unity feedback system with a forward transfer function πΊ (π ) = 500 (π +20)(π 2 +4π +10) find the steady state error for an input 40u(t). A. 11.43 B. 2.5 C. 16 D. INFINITY 4. The Nyquist diagram is a polar plot of the ___ transfer function feedback system a. Open-loop b. Closed-loop c. Poles d. Sinusoidal Function 5. It increase the steady state accuracy a. Integrator b. Differentiator c. Phase lead compensator d. On/Off Downloaded by Danielle Fenola (daniellefenola@gmail.com) lOMoARcPSD|52870855 6. Which of the following is exhibited by root locus diagram? a. The poles of the transfer function for a set of parameter values b. The bandwidth of the system c. The response of a system to a step input d. The frequency response of a system Not sure 7. A system with gain margin close to unity or a phase margin close to 180° is a. Relatively stable b. Highly stable c. Oscillatory d. Unstable Not sure 8. Which of the following is the best method for determining both stability and transient response? a. Routh Hurwitz b. Bode plot c. Nyquist plot d. Root locus 9. The combination of magnitude frequency response and phase frequency response a. Transfer function b. Frequency response c. Poles d. Sinusoidal function a. b. c. d. Reference input Command Control element Disturbance *** 12. A proportional controller ___ the steady state error a. Eliminates b. Increase c. Reduces d. Oscillates 13. Frequency response plotted as a separate magnitude and phase vs log frequency scale is also known as ___. a. PZ map b. Nyquist plot c. Bode plot d. Root locus 14. A system with gain margin close to unity or a phase margin close to 180° a. Relatively stable b. Highly stable c. Oscillatory d. Unstable 10. In the formula Z = P – N, N is the ___ a. Number of closed loop RHP poles b. …… c. Number of counter clockwise revolution around -1 d. None of these 15. The controller that can eliminate forced oscillation caused by the use of on/off controller a. I b. P c. D d. None of these 16. Based on the Nyquist stability criterion, the system is stable if Z = ___. a. Greater than 0 b. Infinity c. 0 d. Any of these 11. A signal other than the reference input that tends to affect the value of controlled variable is known as 17. The frequency response of a system expressed as a separate magnitude and phase plot is also known as the ___. Downloaded by Danielle Fenola (daniellefenola@gmail.com) lOMoARcPSD|52870855 a. b. c. d. Step response Nyquist plot PZ map Bode plot 24. The only mode that is not continuous is On/Off Control. 18. A control mode that will give the best control a. P b. PI c. PID d. On/Off 19. It refers to the reaction of the controller to the error a. Frequency response b. Settling time c. Mode d. Offset 20. It is the amount that the gain of a system can be increased before instability occurs if the angle is constant at 180°. a. Phase margin b. Gain margin c. Bode margin d. Nyquist criterion 21. The frequency where phase crosses 180° is called the ___. a. Gain crossover b. Slow response c. Phase crossover d. Phase margin 22. A graphical presentation of the closed loop poles as gain K is varied. a. PZ plot b. Nyquist plot c. Root locus d. Bode plot 23. Derivative mode of control decrease the settling time. 25. The border of stability for systems that lie on the LHP is the FINAL EXAMINATION 1. A gear system has a drive gear with N1 = 60, and a driven gear with N2 = 30. If the angular displacement at the drive gear Ο΄1(s) is reflected to the driven gear, what is the angular displacement at the driven gear? A. Ο΄1(s) B. 0.5 Ο΄1(s) C. 2 Ο΄1(s) D. 4 Ο΄1(s) 2. Find the location of the second-order pair of poles with %OS = 15%; Tp = 5 seconds. A. -0.3794 + -j0.6283 B. -0.4605 + -j0.6283 C. 0.4605 + -j0.6283 D. -0.6283 + -j0.3794 3. How many points of motion does the system shown have? A. B. 2 C. 1 D. 3 4. For a certain motor and load system the torque-speed curve is given by Tm = 8wm + 200 at 50V. Determine the constant Kt/Ra. Downloaded by Danielle Fenola (daniellefenola@gmail.com) lOMoARcPSD|52870855 A. B. C. D. 4 0.25 8 2 5. The proportional error constant of a negative unity feedback system given the open-loop transfer function G(s) = 100/(s^2 + 12s + 400) is ___. A. Zero B. Infinity C. 0.25 D. 0.8 6. Determine the damped frequency of oscillation. A. B. C. D. 4.15 rad/s 1.67 rad/s √20 rad/s 8.15 rad/s 7. Given the unity feedback system, with forward transfer function G(s) = (K(s+4)) / (s(s+1.2)(s+2)), determine the value of K that makes the system oscillate. A. K = 9.0 B. K = 9.6 C. K = 10.0 D. No value of K will make the system oscillate. v(t). What is the transfer function I(s)/V(s)? A. 4/(s+8) B. 8/(s+4) C. 2/(s+2) D. 4/(s+4) 10. For an error constant Kp = 9, what is the value of the steady state error? A. 0.2 B. 0.1 C. 0 D. Infinity 11. D. 12. A system has a transfer function, G(s) = 10/(s+10). Find the time constant and settling time. A. Tc = 0.01s, Ts = 0.4s B. Tc = 0.1s, Ts = 0.44s C. Tc = 10s, Ts = 4s D. Tc = 0.1s, Ts = 0.4s 8. The _____ of a second-order system is the frequency of oscillation of the system without damping. A. Damped frequency of oscillation B. Natural frequency C. Exponential frequency D. None of the above 13. A gear system has a drive gear with N1 = 12 and a driven gear with N2 = 30. A rotational viscous damper, 24 N-ms/rad, is at the driven gear. If reflected to the drive gear, what is its equivalent impedance? A. 9.6s B. 3.84s C. 150s D. 60s 9. An RL series network has R = 2 ohms, L = 0.25 Henry and an applied voltage 14. The impedance of 2 Farad is … A. 0.5/s Downloaded by Danielle Fenola (daniellefenola@gmail.com) lOMoARcPSD|52870855 B. 5/s C. 0.2s D. 4s 15. How many points of motion does the system shown have? A. B. C. D. 1/G1 G1 H1 1/G2 20. The steady-state error of a unity negative feedback system given the open-loop transfer function G(s) = 20(s+1)/((s+3)(s+4)s^2) and a ramp input is A. 0.6 B. INFINITY C. 0.545 D. ZERO A. 2 16. 17. A Series R-L-C combination circuit having a resistance 3 ohms, capacitance 33 uF and inductance 1H. Find the transfer function Vc(s)/V(s). A. 30.303/(s^2+3s+30.303) B. 30.033/(s^2+0.3s+30.033) C. 33.303/(s^2+30s+33.303) D. 30/(s^2+30s+33.303) 18. For the unity feedback system of forward trasnfer functions G(s) = (K(s+6))/(s(s+1)(s+4)), determine the range of K to ensure stability. A. 0 < K < 4 B. 0 < K < 20 C. 0 < K < 24 D. 0 < K < 10 E. 19. If G1 is moved to the left of take-off points “x”, G2 will be in parallel with ____ 21. In order for a system to be Marginally Stable, it should have no RHP poles and A. jw poles of Unit multiciplity B. None of the above C. Multiple jw poles D. No jw poles 22. A negative unity feedback system, with a forward transfer function G(s) = K/(s(s+a)) is to have a steady state error of 0.01. The natural frequency of the closed-loop system is 5 rad/sec. Find K and a. A. K=10 a=100 B. K=25 a=0.25 C. K=0.25 a=25 D. K=100 a=1 23. A system has Ka=3. What steady state error can be expected from an input of 10tu(t). A. 0 B. Infinity C. 2 D. 3.33 Downloaded by Danielle Fenola (daniellefenola@gmail.com) lOMoARcPSD|52870855 24. A number of sign changer in the first column of a Routh Table tells the number of poles at ___. A. jw B. RHP C. LHP D. All of the above 25. Given the signal flow graph, determine the overall transfer function. 27. Find the inverse Laplace of F(s) = 2/((s+1)(s+2)) A. (4e^(-t)-4e^(-2t))u(t)) B. (4e^(-t)+4e^(-2t))u(t)) C. (2e^(-t)-2e^(-2t))u(t)) D. (2e^(-t)+2e^(-2t))u(t) 28. Find the closed loop transfer function. A. B. C. D. 26. Consider a system represented by the block diagram. 2/3 1.5s 2 s/(2s+1) 29. For a negative unity feedback system with a forward transfer function G(s) = 5/(s(s+2)), find the output c(t) for a step input. A. c(t)=te^-t (cos2t+0.5sin2t) B. c(t)=1-e^-t (cos2t+0.5sin2t) C. c(t)=e^-t (cos2t+0.5sin2t) D. c(t)=1+e^-t (cos2t+0.5sin2t) 30. For a negative unity feedback system with a forward transfer function G(s) = 5000/(s(s+75)), find the steady state error of an input 5tu(t). A. 0 B. 0.075 C. Infinity D. 66.67 31. In mechanical systems, the number of equations of motion required is equal to the number of ____. A. Linearly related motions Downloaded by Danielle Fenola (daniellefenola@gmail.com) lOMoARcPSD|52870855 B. Linearly independent motions C. Linearly dependent motions D. None of the choices 37. Find the closed loop transfer function. 32. For a negative unity feedback system with a forward transfer function G(s)=450(s+12)(s+8)(s+15)/((s(s+38)(s^2 +2s+28)), find the steady state error for an input 50tu(t). A. 0 B. 0.082 C. 16.46 D. 0.061 33. Even polynomials have roots that are symmertrical with the ____. A. Y axis B. X axis C. Z axis D. Origin 34. Find the Laplace Transform of f(t) = te^(-5t). A. F(s) = 1/(s+5)^2 B. F(s) = 5/(s+5)^2 C. F(s) = 1/(s-5)^2 D. F(s) = 5/(s-5)^2 35. What type of system with static error of Kp = INFINITY, Kv = Constant and Ka = 0? A. Type 0 B. Type 1 C. Type 2 36. Which of the following is included in the main criteria of a control system's performance? A. SENSITIVITY B. cost C. appearance D. transient response 38. Reference input signal r plus or minus the primary feedback signal b. A. Controlled Output B. Actuating signal C. Control Signal D. Reference Input 39. A gear system has a drive gear with N1 = 12 and a driven gear with N2 = 30. If a torque T(s) is applied at the drive gear, what is the torque at the driven gear? A. 0.16T(s) B. 2.5T(s) C. 0.4T(s) D. 6.25T(s) 40. The system shown has M=2Kg, K=1N/m, and fv=2N-s/m. Determine the transfer function X(s)/F(s). A. B. C. D. Downloaded by Danielle Fenola (daniellefenola@gmail.com) 2/(s^2+s+1) 1/(s^2+s+0.5) 2/(s^2+s+0.5) 0.5/(s^2+s+0.5) lOMoARcPSD|52870855 41. For a non-inverting op-amp, what is Vo(s)/Vi(s)? A. –Z2/Z1 B. (Z1+Z2)/Z2 C. (Z1+Z2)/Z1 D. –Z1/Z2 46. Find the torque reflected to N4. 42. How many points of motions does the system shown have? A. B. C. D. A. B. C. D. 16T(s) 9T(s) 4T(s) 0.25T(s) 47. Find the steady state error for a step input. A. 0.75 B. 1.333 2 1 3 4 43. For a negative unity feedback system with a forward transfer functions G(s) = 500/((s+20)(s^2+4s+10)), find the steady state error for an input 40u(t). A. 11.43 B. 16 C. Infinity D. 2.5 44. The response of a second order system which is marginally stable is also called _____ response. A. Undamped B. Underdamped C. Critically damped D. Overdamped 48. The impedance of a mechanical component 2N/m is ____. A. 2s^2 B. 0.5 C. 2s D. 2 49. What mathematical model permits easy interconnection of physical systems? A. Linear time-invariant B. Free body diagram C. Transfer function D. None of the choices 50. For the circuit shown, R1=10K ohms, C1=0.2mF, R2=500K ohms, C2=2uF. Determine the transfer function Vo(s)/Vi(s). 45. Mass in force-voltage analogy, is analogous to A. Inductance B. Capacitance C. Current D. Resistance Downloaded by Danielle Fenola (daniellefenola@gmail.com) lOMoARcPSD|52870855 A. (s^2+51.5s+0.5)/(s^2+1.5s+ 0.5) B. (s^2+13s+1)/(2s^2+s+1) C. (2s^2+103s+1)/(s^2+1.5s+0. 5) D. (s^2+51.5s+0.5)/(2s^2+3s+1 ) 51. For a unity feedback system with forward transfer function G(s)=(K(s+4))/(s(s+1.2)(s+2)), find the value of K that makes the system oscillate. A. K = 7.2 B. K = 1.44 C. K = 2.4 D. K = 9.6 52. For a negative unity feedback system with a forward transfer function G(s)=K/(s(s+a)), find K and a to yield a settling time of 0.30 second and a 25% overshoot. A. K = 1091, a = 53.33 B. K = 5549, a = 53.33 C. K = 1091, a = 26.67 D. K = 5549, a = 26.67 53. The border of stability for systems that lie on the LHP is the ____. A. RHP B. jw axis C. LHP D. Real axis 54. Overdamped response has ____ poles. A. Imaginary B. Real and distinct C. Complex D. Real and repeated 55. A graphical presentation of the closed loop poles as gain “K” is varied. A. PZ plot B. Root locus C. Bode plot D. Nyquist plot 56. Means the summing point is a subtracted. A. Primary Feedback Signal B. Positive Feedback C. Negative Feedback D. Forward Path 57. Continuous control is often called ____ control. A. Slow B. Fast C. On/Off D. Modulating 58. Consider the system T(s) = 5/(s+5), what is the rise time? A. 0.48 B. 0.44 C. 0.50 D. 0.52 59. It increases the steady state accuracy. A. Phase lead lag B. On/off C. I D. D 60. The _____ of a second-order system is the frequency of oscillation of the system without damping. A. Damped frequency of oscillation B. Natural Frequency C. Exponential frequency D. None of the above Downloaded by Danielle Fenola (daniellefenola@gmail.com) lOMoARcPSD|52870855 61. For a negative unity feedback system with a forward transfer function G(s)=225/(s(s+15)), find the peak time. A. Tp = 0.121 B. Tp = 0.242 C. Tp = 0.343 D. Tp = 0.454 the left half-plane, and on the jw axis? P(s) = s^5+3s^4+5s^3+4s^2+s+3 A. 2 RHP, 3 LHP B. 3 RHP, 2 LHP C. 1 RHP, 4 LHP D. 4 RHP, 4 LHP 62. Evaluate system type and find Kp, Kv, and Ka if the forward transfer function of a unity feedback system is G(s)= (5(s+4))/((s+5)(s+10)) A. Type 1, Kp =0, Kv= 0.4, and Ka= 0 B. Type 2. Kp = 0, Kv= 0, and Ka= 0.4 C. C. Type 0, Kp = 0.4, Kv= infinity, and Ka= infinity D. D. Type 0, Kp = 0.4, Kv= 0, and Ka= 0 63. An arrangement of physical components connected or related in such a manner as to command, direct, or regulate itself or another system. A. Path B. Circuit C. System D. Control System 36. “Edward John Routh extended the stability systems” refers to ____. A. Stability Criterion for a Secondorder System B. B. Stability Criterion for a Thirdorder System C. C. Stability Criterion for a Fourth-order System D. D. Stability Criterion for a Fifthorder System 64. How many roots of the following polynomial are in the right half-plane, in Downloaded by Danielle Fenola (daniellefenola@gmail.com)
