Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
Two carts with negligible rolling friction are connected as shown in Figure (1b). An input force tu )( is applied. The masses of the two carts are M1 and M2 and their displacements are tx )( and tq ),( respectively. The carts are connected by a spring k and a damper b. Answer the following questions: (b) By using Newton’s Second Law, derive two mathematical equations that describe the motion of the two carts. (3 marks) (c) Hence derive the following two transfer functions: )( )( )( sU sQ G1 s = (1 mark) Figure (1b)

Two carts with negligible rolling friction are connected as shown in Figure (1b). An input force tu )( is applied. The masses of the two carts are M1 and M2 and their displacements are tx )( and tq ),( respectively. The carts are connected by a spring k and a damper b. Answer the following questions: (b) By using Newton’s Second Law, derive two mathematical equations that describe the motion of the two carts. (3 marks) (c) Hence derive the following two transfer functions: )( )( )( sU sQ G1 s = (1 mark) Figure (1b)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
See similar textbooks
icon
Related questions
Question

Two carts with negligible rolling friction are connected as shown in Figure (1b). An input
force tu )( is applied. The masses of the two carts are M1 and M2 and their displacements are
tx )( and tq ),( respectively. The carts are connected by a spring k and a damper b. Answer
the following questions:
(b) By using Newton’s Second Law, derive two mathematical equations that describe the
motion of the two carts. (3 marks)
(c) Hence derive the following two transfer functions:
)(
)( )( sU
sQ G1
s = (1 mark)
Figure (1b)

x(t) q(t) k M, М, u(t) Figure (1b)
Transcribed Image Text:x(t) q(t) k M, М, u(t) Figure (1b)
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Mathematical Modeling of Mechanical System
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS