CONTROL SYSTEMS ENGINEERING
7th Edition
ISBN: 2819770197050
Author: NISE
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 4, Problem 26P
For the system shown in Figure P4.8, a step torque is applied at
a. The transfer function,
b. The percent overshoot, settling time, and peak time for
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Consider
in Figure
1 = 0. Iff,
the translational mechanical system shown
P4.17. A 1-pound force, f(t), is applied at
1, find K and M such that the response
is characterized by a 4-second settling time and a
1-second peak time. Also, what is the resulting
percent overshoot? [Section: 4.6]
1+
270
K
a. For the translational mechanical system shown in Figure (3).
1. Write the mathematical model in a format of matrices.
2. Find the transfer function G(s) = a₁ (s)/T (s) where a is the acceleration.
t
45²² +16,5
245+628²-2-05+96
M₁ = 8 kg
6 N-s/m
f(t)
1 N/m
0000
4 N-s/m
-x₂(1)
M₂-3kg
Frictionless
0000
15 N/m
Frictionless
Figure (3) Translational mechanical system
32. For the rotational mechanical system with gears
shown in Figure P2.18, find the transfer function,
G(s) = 03(s)/T(s). The gears have inertia and bear-
ing friction as shown. [Section: 2.7]
T(t)
to
|N1
小D
N2
N3
2, D2
Jz, D3 03(1)
N4
J4. D4
J5. D5
FIGURE P2.18
sair
Chapter 4 Solutions
CONTROL SYSTEMS ENGINEERING
Ch. 4 - Prob. 1RQCh. 4 - What does the performance specification for a...Ch. 4 - Prob. 3RQCh. 4 - In a system with an input and an output, what...Ch. 4 - Prob. 5RQCh. 4 - Prob. 6RQCh. 4 - 7. What is the difference between the natural...Ch. 4 - Prob. 8RQCh. 4 - Prob. 9RQCh. 4 - Prob. 10RQ
Ch. 4 - List five specifications for a second-order...Ch. 4 - Prob. 12RQCh. 4 - What pole locations characterize (1) the...Ch. 4 - Prob. 14RQCh. 4 - How can you justify pole-zero cancellation?Ch. 4 - Prob. 16RQCh. 4 - 17. What is the relationship between , which...Ch. 4 - Name a major advantage of using time-domain...Ch. 4 - Prob. 19RQCh. 4 - What three pieces of information must be given in...Ch. 4 - 21. How can the poles of a system be found from...Ch. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - MATIAB ML 3. Plot the step responses for Problem 2...Ch. 4 - Find the capacitor voltage in the network shown in...Ch. 4 - For the system shown in Figure P4.3, (a) find an...Ch. 4 - Prob. 8PCh. 4 - MATLAB ML 9. Use MATLAB to find the poles of...Ch. 4 - Find the transfer function and poles of the system...Ch. 4 - MATLAB ML 11. Repeat Problem 10 using MATLAB....Ch. 4 - Write the general form of the capacitor voltage...Ch. 4 - Solve for x(t) in the system shown in Figure P4.5...Ch. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Calculate the exact response of each system of...Ch. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - For each of the second-order systems that follow,...Ch. 4 - MATLAB ML 21. Repeat Problem 20 using MATLAB. Have...Ch. 4 - GUI Tool GUIT
22. Use MATLAB’s LTI Viewer and...Ch. 4 - Prob. 23PCh. 4 - Find the transfer function of a second-order...Ch. 4 - For the system shown in Figure P4.7, do the...Ch. 4 - For the system shown in Figure P4.8, a step torque...Ch. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - State Space SS 38. A system is represented by the...Ch. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - State Space SS 41. Given the following system...Ch. 4 - State Space SS 42. Solve the following state...Ch. 4 - Prob. 43PCh. 4 - Prob. 44PCh. 4 - Prob. 46PCh. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 53PCh. 4 - Prob. 54PCh. 4 - A MOEMS (optical MEMS) is a MEMS (Micro...Ch. 4 - Prob. 56PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Prob. 63PCh. 4 - Prob. 67PCh. 4 - Figure P4.l6 shows the step response of an...Ch. 4 - Figure P4. I 7 shows the free-body diagrams for...Ch. 4 - Find an equation that relates 2% settling time to...Ch. 4 - Prob. 74PCh. 4 - Prob. 75PCh. 4 - 76. Find J and K in the rotational system shown in...Ch. 4 - Given the system shown in Figure P4.22, find the...Ch. 4 - Prob. 78PCh. 4 - Find M and K, shown in the system of Figure P4.24,...Ch. 4 - If vi(t) is a step voltage in the network shown in...Ch. 4 - Prob. 81PCh. 4 - Prob. 82PCh. 4 - For the circuit shown in Figure P4.26, find the...Ch. 4 - Prob. 84PCh. 4 - Prob. 86P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 3. For the rotational system shown below, find the transfer function, L(s) G(s): T(s) IN-m-s/rad IN-m/rad Ng = 100H Ikg-m? 00 N= 50 N- 10 N- 10 0.04 N-m-s/radarrow_forwardQ4: Obtain the transfer function X(s)/F(s) for the mechanical system shown in figure (4) Where f is applied force, x and y are displacements. B K M1 M2 Figure (4)arrow_forwardAssume F(t) is a step force input and the displacement is x(t) obtain the transfer function for the system shown below. Assume all initial conditions are zero. F(t) = 5 N-s N, m = 0.2 kg, c = 0.3 N k1 = 5 and k2 = 4 S k2 Inarrow_forward
- Assume F(t) is a step force input and the displacement is x(t) obtain the transfer function for the system shown below. Assume all initial conditions are zero. F(t) = 5 N, m = 0.2 kg, c = 0.3 N-s/m, k1 = 5 N/m and k2 = 4 N/m. 3. Find the global stiffness matrix, displacement at nodarrow_forwardFind the transfer function, G(s) = X3(s)/F(s), for the translational mechanical system shown in Figure Sv, =1 N-s/m K= 1 N/m fu) M = 1 kg M2 = 1 kg fv, = 1 N-s/m fv, = I N-s/m fv,= 1 N-s/marrow_forward4. Obtain the transfer function for the following mechanical rotational system TM O (s) T= Ty(s) T3 BL Loadarrow_forward
- 1. Find the transfer function, c(s) - X;(s)/F(s), for each of the system shown In the figure below. a. K-5 Nim Ad, = 5 kg -3Nslm K=4 Nim M=4 ky M =5 kgAn K=4 N/m Siy - 2 N-sm Frictionless Sy =4N-s/m K-5 N/m e = 4N-s/m M4 kg 00O -M2 = 4 kg foy=4 N-s/m Sv4 N-s/marrow_forward2. For the system below, find the transfer function fromfi to x (driving point receptance) and from f. to ä, (driving point accelerance). What is the acceleration response of mass m, if m; = 2 kg, m; = 4 kg, k, = 40 N/m, k =100 N/m, and k; = 200 N/m, fi(t) = 20 cos(3t) N and f:(r) = 0? WW m, WW m Warrow_forwardConsider the following spring system. m, C3 Cy m₂ C₂ Write the stiffness matrix K Write the matrix M ¹K C₁ = 6, m₁ = 6, C₂ = 12, m₂ = 3 Find the eigenvalues and eigenvectors of M ¹K: Smaller eigenvalue = with eigenvector • Larger eigenvalue = with eigenvector C3 = 18, C₁=6 If this spring system oscillates without any external forces present, then the position of each mass satisfies the following general formula: X 8 u(t) = (a₁ cos( t) + b₁ sin(t)) + (a2 cos (t) + b2 sin(t)) If the system begins oscillation with initial position u(0) = [] | and initial velocity (0) = [] then the position of the masses at time t is given by u₁(t): u₂(t):arrow_forward
- (25) Find the transfer function, X1(s)/F(s) For the system show in the figure. Svy = 4 N-s/m K= 5 N/m fv = 4N-s/m f) M = 4 kg0000 M2 = 4 kg Svz = 4 N-s/m Sv=4 N-s/marrow_forwardProblem 3: Figure P4.43 shows a rack-and-pinion gear in which a damping force and a spring force act against the rack. Develop the equivalent rotational model of the system with the applied torque T as the input variable and the angular displacement e is the output variable. Neglect any twist in the shaft. Figure P4.43 a. Differential equation; b. Transfer function; c. State-space model (Cylinder has the mass moment of inertia=Im; Gear has the mass moment of inertia=Ip, c is the damping constant)arrow_forward4 rad, = 0.5. On the complex plane, draw the root(s) of a 2nd order system with the following characteristics: W₁ = 4 radarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Ficks First and Second Law for diffusion (mass transport); Author: Taylor Sparks;https://www.youtube.com/watch?v=c3KMpkmZWyo;License: Standard Youtube License