a) (25%) Evaluate the displacement, u1 = u(x = 0.27) =? %3D b) (25%) Evaluate the velocity, ů̟ = ú(x = 0.27) =? c) (25%) Evaluate the displacement, uz = u(x = 0.29) =? d) (25%) Evaluate the velocity, ủz = ú(x = 0.29) =? %3D

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

5

d²u
2-
dt2
du
+ 0.2-
dt
+ 30u = F(t)
%3D
Here m = 2k9, c = 0.2 Na/m , k = 30 N/m, F(t) = 1000(1 – t) N, and at time to = 0.25 s, the initial conditions are u = 1.8m for the
displacement, and ů = -0.7m/s for the velocity.
Use the Euler Method to evaluate the displacement and velocity response of the mass at time t=0.29 s. Use a time step of At = 0.02 s.
u(t) f
m
| F(1)
a) (25%) Evaluate the displacement, u1 = u(x = 0.27) =?
%3D
b) (25%) Evaluate the velocity, ủ1 = ü(x = 0.27) =?
c) (25%) Evaluate the displacement, u2 =
u(x = 0.29) =?
d) (25%) Evaluate the velocity, ủz = i(x = 0.29) =?
Transcribed Image Text:d²u 2- dt2 du + 0.2- dt + 30u = F(t) %3D Here m = 2k9, c = 0.2 Na/m , k = 30 N/m, F(t) = 1000(1 – t) N, and at time to = 0.25 s, the initial conditions are u = 1.8m for the displacement, and ů = -0.7m/s for the velocity. Use the Euler Method to evaluate the displacement and velocity response of the mass at time t=0.29 s. Use a time step of At = 0.02 s. u(t) f m | F(1) a) (25%) Evaluate the displacement, u1 = u(x = 0.27) =? %3D b) (25%) Evaluate the velocity, ủ1 = ü(x = 0.27) =? c) (25%) Evaluate the displacement, u2 = u(x = 0.29) =? d) (25%) Evaluate the velocity, ủz = i(x = 0.29) =?
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Basic Mechanics Problems
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