Problem # 7A Part A: Show all your work. Identify the transfer function X{s)/F(s) from the block diagram shown in figure. [Set G/s) = 0.] G(s)| F(s) X(s) PAR TB: After your determine zeta and if the: critically damped, underda damp using any method yc X(s) F(s) 3-8s-24 a. Critically Over dampea X(s) F(s) s+8s+24 IF you select this problem (which I highly recommend, you must cross out the other problem b. Over Damped D X(s) F(s) s'+8s-24 c. Underdamped
Problem # 7A Part A: Show all your work. Identify the transfer function X{s)/F(s) from the block diagram shown in figure. [Set G/s) = 0.] G(s)| F(s) X(s) PAR TB: After your determine zeta and if the: critically damped, underda damp using any method yc X(s) F(s) 3-8s-24 a. Critically Over dampea X(s) F(s) s+8s+24 IF you select this problem (which I highly recommend, you must cross out the other problem b. Over Damped D X(s) F(s) s'+8s-24 c. Underdamped
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
Related questions
Question
![### Problem #7A
**Part A: Show all your work.**
Identify the transfer function \( \frac{X(s)}{F(s)} \) from the block diagram shown in the figure. [Set \( G(s)' = 0.\)]
---
**Diagram Explanation:**
The block diagram includes several elements connected in a feedback loop:
- An input function \( F(s) \).
- A block with gain 4.
- A block with transfer function \( \frac{1}{s} \).
- A summing junction that combines the outputs of previous blocks.
- Another block with transfer function \( \frac{1}{s} \).
- A feedback loop with gain 8 feeding back into the summing junction.
- A feedback loop with gain 6 feeding back after the summing junction.
---
**Options for Transfer Function:**
1. \( \frac{X(s)}{F(s)} = \frac{4}{s^2 - 8s - 24} \)
2. \( \frac{X(s)}{F(s)} = \frac{4}{s^2 + 8s + 24} \)
3. \( \frac{X(s)}{F(s)} = \frac{4}{s^2 + 8s - 24} \)
4. \( \frac{X(s)}{F(s)} = \frac{4}{s^2 - 8s + 24} \)
---
**Note:**
*IF you select this problem (which I highly recommend), you must cross out the other problem.*
---
**Part B:**
After your selection, determine the damping ratio (\( \zeta \)) and decide whether the response is critically damped, overdamped, underdamped, or not damped using any method you choose:
a. Critically Overdamped
b. Overdamped
c. Underdamped
d. Not Damped, Oscillates continuously
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6b35b3b0-b14f-402d-8fa7-815e4977d1f5%2Fbc9126c7-49c1-4e3b-8671-0876e7c031e7%2F960vmjm_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem #7A
**Part A: Show all your work.**
Identify the transfer function \( \frac{X(s)}{F(s)} \) from the block diagram shown in the figure. [Set \( G(s)' = 0.\)]
---
**Diagram Explanation:**
The block diagram includes several elements connected in a feedback loop:
- An input function \( F(s) \).
- A block with gain 4.
- A block with transfer function \( \frac{1}{s} \).
- A summing junction that combines the outputs of previous blocks.
- Another block with transfer function \( \frac{1}{s} \).
- A feedback loop with gain 8 feeding back into the summing junction.
- A feedback loop with gain 6 feeding back after the summing junction.
---
**Options for Transfer Function:**
1. \( \frac{X(s)}{F(s)} = \frac{4}{s^2 - 8s - 24} \)
2. \( \frac{X(s)}{F(s)} = \frac{4}{s^2 + 8s + 24} \)
3. \( \frac{X(s)}{F(s)} = \frac{4}{s^2 + 8s - 24} \)
4. \( \frac{X(s)}{F(s)} = \frac{4}{s^2 - 8s + 24} \)
---
**Note:**
*IF you select this problem (which I highly recommend), you must cross out the other problem.*
---
**Part B:**
After your selection, determine the damping ratio (\( \zeta \)) and decide whether the response is critically damped, overdamped, underdamped, or not damped using any method you choose:
a. Critically Overdamped
b. Overdamped
c. Underdamped
d. Not Damped, Oscillates continuously
---
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Similar questions
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The