four One -H = 2x2 +212 +382 2 x² -23.5x + x37 84 x -10.5x+h 84.5 Automation and Control 4th Year 24. (i) Derive a mathematical model for the mechanical system represented below, where the input 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? 25 (N/m) F 5 kg 30 (N.s/m) 2 Ans(i) ref notes (iii) (iii) x(t) = 0.5(e-t-e-st) 2 and a negative feedback loop S+2 s² + 6s+5 25. A control system has a forward path transfer function of with a transfer function 4. What will be the (time) response of the system to a unit step input? CON 4 1 Rnd Rane R 0 EL SALVADOR Ans: 0.2(1-e-10) 10 s+3 and a negative feedback loop 26. A control system has a forward path transfer function of 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? -53t Ans: (a) 10e (b) 0.188(1-e-531) 27. The figure below shows an electrical circuit and its block diagram representation. What is the overall transfer function of the system? V(s). R Input V Output VC Vc(s) 8-47 1 Ans: RCS+1 GOS CHIPIL ERNA HILE 28. Use block diagram simplification to arrive at the overall transfer function of the systems shown: 16
four One -H = 2x2 +212 +382 2 x² -23.5x + x37 84 x -10.5x+h 84.5 Automation and Control 4th Year 24. (i) Derive a mathematical model for the mechanical system represented below, where the input 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? 25 (N/m) F 5 kg 30 (N.s/m) 2 Ans(i) ref notes (iii) (iii) x(t) = 0.5(e-t-e-st) 2 and a negative feedback loop S+2 s² + 6s+5 25. A control system has a forward path transfer function of with a transfer function 4. What will be the (time) response of the system to a unit step input? CON 4 1 Rnd Rane R 0 EL SALVADOR Ans: 0.2(1-e-10) 10 s+3 and a negative feedback loop 26. A control system has a forward path transfer function of 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? -53t Ans: (a) 10e (b) 0.188(1-e-531) 27. The figure below shows an electrical circuit and its block diagram representation. What is the overall transfer function of the system? V(s). R Input V Output VC Vc(s) 8-47 1 Ans: RCS+1 GOS CHIPIL ERNA HILE 28. Use block diagram simplification to arrive at the overall transfer function of the systems shown: 16
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
Related questions
Question
Transcribed Image Text:four
One
-H
=
2x2 +212 +382
2
x² -23.5x + x37
84
x -10.5x+h
84.5
Automation and Control
4th Year
24. (i) Derive a mathematical model for the mechanical system represented below, where the input
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?
25 (N/m)
F
5 kg
30 (N.s/m)
2
Ans(i) ref notes
(iii)
(iii) x(t) = 0.5(e-t-e-st)
2
and a negative feedback loop
S+2
s² + 6s+5
25. A control system has a forward path transfer function of
with a transfer function 4. What will be the (time) response of the system to a unit step input?
CON
4
1
Rnd
Rane R
0
EL SALVADOR
Ans: 0.2(1-e-10)
10
s+3
and a negative feedback loop
26. A control system has a forward path transfer function of
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?
-53t
Ans: (a) 10e (b) 0.188(1-e-531)
27. The figure below shows an electrical circuit and its block diagram representation. What is the
overall transfer function of the system?
V(s).
R
Input
V
Output
VC
Vc(s)
8-47
1
Ans:
RCS+1
GOS
CHIPIL
ERNA
HILE
28. Use block diagram simplification to arrive at the overall transfer function of the systems shown:
16
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