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One -1/x²-10.5x+1Z 84.5 11 2x2 +212 +382 2 2 -23.500 81 4th Year 24. (i) Derive a mathematical model for the mechanical system represented below, where the input Automation and Control is the Force F, and the output is the displacement x. (ii)Determine the general transfer function of the system given that the input is an impulsive force of 10N and the following constants (iii\Determine the output as a F(s) (iii) What is the output x as a function of time? EX Rnd 0 COM 7 4 Ran# Ra 25 (N/m) 5 kg 30 (N.s/m) Ans(i) ref notes 2 2 s² + 6s+5 25. A control system has a forward path transfer function of (111) (iii) x(t) = 0.5(e-t-e-5t) 2 and a negative feedback loop four S+2 with a transfer function 4. What will be the (time) response of the system to a unit step input? Ans: 0.2(1-e-10) 10 26. A control system has a forward path transfer function of and a negative feedback loop S+3 with a transfer function 5. What will be the (time) response of the system to a (a) unit impulsive input? (b) a unit step input? Ans: (a) 10e-531 (b) 0.188(1-e-53t) EL SALVADOR GOS 27. The figure below shows an electrical circuit and its block diagram representation. What is the overall transfer function of the system? Input R V (s) Vc(s) C Output VC Cs 1 Ans: RCS +1 CHIPIL ERNA HILE 28. Use block diagram simplification to arrive at the overall transfer function of the systems shown: 16

One -1/x²-10.5x+1Z 84.5 11 2x2 +212 +382 2 2 -23.500 81 4th Year 24. (i) Derive a mathematical model for the mechanical system represented below, where the input Automation and Control is the Force F, and the output is the displacement x. (ii)Determine the general transfer function of the system given that the input is an impulsive force of 10N and the following constants (iii\Determine the output as a F(s) (iii) What is the output x as a function of time? EX Rnd 0 COM 7 4 Ran# Ra 25 (N/m) 5 kg 30 (N.s/m) Ans(i) ref notes 2 2 s² + 6s+5 25. A control system has a forward path transfer function of (111) (iii) x(t) = 0.5(e-t-e-5t) 2 and a negative feedback loop four S+2 with a transfer function 4. What will be the (time) response of the system to a unit step input? Ans: 0.2(1-e-10) 10 26. A control system has a forward path transfer function of and a negative feedback loop S+3 with a transfer function 5. What will be the (time) response of the system to a (a) unit impulsive input? (b) a unit step input? Ans: (a) 10e-531 (b) 0.188(1-e-53t) EL SALVADOR GOS 27. The figure below shows an electrical circuit and its block diagram representation. What is the overall transfer function of the system? Input R V (s) Vc(s) C Output VC Cs 1 Ans: RCS +1 CHIPIL ERNA HILE 28. Use block diagram simplification to arrive at the overall transfer function of the systems shown: 16

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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One -1/x²-10.5x+1Z 84.5 11 2x2 +212 +382 2 2 -23.500 81 4th Year 24. (i) Derive a mathematical model for the mechanical system represented below, where the input Automation and Control is the Force F, and the output is the displacement x. (ii)Determine the general transfer function of the system given that the input is an impulsive force of 10N and the following constants (iii\Determine the output as a F(s) (iii) What is the output x as a function of time? EX Rnd 0 COM 7 4 Ran# Ra 25 (N/m) 5 kg 30 (N.s/m) Ans(i) ref notes 2 2 s² + 6s+5 25. A control system has a forward path transfer function of (111) (iii) x(t) = 0.5(e-t-e-5t) 2 and a negative feedback loop four S+2 with a transfer function 4. What will be the (time) response of the system to a unit step input? Ans: 0.2(1-e-10) 10 26. A control system has a forward path transfer function of and a negative feedback loop S+3 with a transfer function 5. What will be the (time) response of the system to a (a) unit impulsive input? (b) a unit step input? Ans: (a) 10e-531 (b) 0.188(1-e-53t) EL SALVADOR GOS 27. The figure below shows an electrical circuit and its block diagram representation. What is the overall transfer function of the system? Input R V (s) Vc(s) C Output VC Cs 1 Ans: RCS +1 CHIPIL ERNA HILE 28. Use block diagram simplification to arrive at the overall transfer function of the systems shown: 16
Transcribed Image Text:One -1/x²-10.5x+1Z 84.5 11 2x2 +212 +382 2 2 -23.500 81 4th Year 24. (i) Derive a mathematical model for the mechanical system represented below, where the input Automation and Control is the Force F, and the output is the displacement x. (ii)Determine the general transfer function of the system given that the input is an impulsive force of 10N and the following constants (iii\Determine the output as a F(s) (iii) What is the output x as a function of time? EX Rnd 0 COM 7 4 Ran# Ra 25 (N/m) 5 kg 30 (N.s/m) Ans(i) ref notes 2 2 s² + 6s+5 25. A control system has a forward path transfer function of (111) (iii) x(t) = 0.5(e-t-e-5t) 2 and a negative feedback loop four S+2 with a transfer function 4. What will be the (time) response of the system to a unit step input? Ans: 0.2(1-e-10) 10 26. A control system has a forward path transfer function of and a negative feedback loop S+3 with a transfer function 5. What will be the (time) response of the system to a (a) unit impulsive input? (b) a unit step input? Ans: (a) 10e-531 (b) 0.188(1-e-53t) EL SALVADOR GOS 27. The figure below shows an electrical circuit and its block diagram representation. What is the overall transfer function of the system? Input R V (s) Vc(s) C Output VC Cs 1 Ans: RCS +1 CHIPIL ERNA HILE 28. Use block diagram simplification to arrive at the overall transfer function of the systems shown: 16
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