If the spring-mass system has the equation of motion: d²x |dx| dx + a dt2 + kx = Fo sin(wt) m |dt| dt Has a value of m = 2 kg , = 5N /(m/s)², and k = 6 N/m. The damping is nonlinear and %3D represents damping from the air. The work function F0 sin(wt) has the values FO = 2.5 N and w = 0.5 rad/sec. Its initial condition when t = 0 s is the initial velocity dx(0)/dt = 0 m/s, and displacement initial x (0) = 1 m . So: b. Draw the curve velocity against a %3D %3D function of time

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

(note: for this problem do a hand calculation from t = 0 – 5 s , the rest use excel)

If the spring-mass system has the
equation of motion:
d²x
|dx| dx
т
+ a
+ kx = F, sin(wt)
%3D
|
dt2
dt| dt
Has a value of m = 2 kg , = 5N /(m/s)², and
k = 6 N/m. The damping is nonlinear and
represents damping from the air. The
work function F0 sin(wt) has the values FO
= 2.5 N and w = 0.5 rad/sec. Its initial
condition when t = 0 s is the initial velocity
dx(0)/dt = 0 m/s, and displacement initial
x (0) = 1 m. So:
b. Draw the curve velocity against a
%3D
%3D
%3D
function of time
Transcribed Image Text:If the spring-mass system has the equation of motion: d²x |dx| dx т + a + kx = F, sin(wt) %3D | dt2 dt| dt Has a value of m = 2 kg , = 5N /(m/s)², and k = 6 N/m. The damping is nonlinear and represents damping from the air. The work function F0 sin(wt) has the values FO = 2.5 N and w = 0.5 rad/sec. Its initial condition when t = 0 s is the initial velocity dx(0)/dt = 0 m/s, and displacement initial x (0) = 1 m. So: b. Draw the curve velocity against a %3D %3D %3D function of time
Expert Solution
steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Engineering Drawing
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
  • SEE MORE QUESTIONS
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