1- Consider the single degree of freedom system in figure below: x (1) www 2,000 N/m 100 kg Friction- free surface 10 sin 10t N mä(t) + kx(t) = 10 sin (10t) (a) Make the correct selection: The system above is: (A) Undamped Also determine the following: Also determine the following: (b) Draw the Free-Body-Diagram (FBD) of the mass. (c) Calculate the numerical value of the system's natural frequency. (d) Derive the equation-of-motion (EOM) using method of undetermined coefficients. (B) Underdamped (C) Critically damped (D) Overdamped (e) Calculate the response of the system assuming it is initially at rest. (f) Calculate the response of the system assuming it has an initial displacement of 0.05 m and starting from rest. (g) Calculate the numerical value of the mass normalized force. (h) Write the equation of motion above as a set of first-order ODE's (i) Write the first-order ODE's in state-space form (i) Write a Matlab code -using ODE45- to simulate (solve and plot) the system response above for part (f).
1- Consider the single degree of freedom system in figure below: x (1) www 2,000 N/m 100 kg Friction- free surface 10 sin 10t N mä(t) + kx(t) = 10 sin (10t) (a) Make the correct selection: The system above is: (A) Undamped Also determine the following: Also determine the following: (b) Draw the Free-Body-Diagram (FBD) of the mass. (c) Calculate the numerical value of the system's natural frequency. (d) Derive the equation-of-motion (EOM) using method of undetermined coefficients. (B) Underdamped (C) Critically damped (D) Overdamped (e) Calculate the response of the system assuming it is initially at rest. (f) Calculate the response of the system assuming it has an initial displacement of 0.05 m and starting from rest. (g) Calculate the numerical value of the mass normalized force. (h) Write the equation of motion above as a set of first-order ODE's (i) Write the first-order ODE's in state-space form (i) Write a Matlab code -using ODE45- to simulate (solve and plot) the system response above for part (f).
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
please do parts F through J

Transcribed Image Text:1- Consider the single degree of freedom system in figure below:
x (1)
www
2,000 N/m
100 kg
Friction-
free
surface
10 sin 10t N
mä(t) + kx(t) = 10 sin (10t)
(a) Make the correct selection: The system above is:
(A) Undamped
Also determine the following:
Also determine the following:
(b) Draw the Free-Body-Diagram (FBD) of the mass.
(c) Calculate the numerical value of the system's natural frequency.
(d) Derive the equation-of-motion (EOM) using method of undetermined coefficients.
(B) Underdamped (C) Critically damped
(D) Overdamped
(e) Calculate the response of the system assuming it is initially at rest.
(f) Calculate the response of the system assuming it has an initial displacement of 0.05 m
and starting from rest.
(g) Calculate the numerical value of the mass normalized force.
(h) Write the equation of motion above as a set of first-order ODE's
(i) Write the first-order ODE's in state-space form
(i) Write a Matlab code -using ODE45- to simulate (solve and plot) the system response
above for part (f).
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 4 images

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.Recommended textbooks for you

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

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