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
icon
Related questions
Question

please do parts F through J

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).
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
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Pressure Vessels
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
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY