A disk of radius R = 2 m, whose mass is distributed homogeneously and equals 6 kg, is suspended at its center by a cable with torsion constant K = 0.5 Nm/rad and length 1 = 1 m. The system is immersed in a fluid in such a way that it experiences a damping force of constant b Ns/m. find:

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
A disk of radius R = 2 m, whose mass is distributed
homogeneously and equals 6 kg, is suspended at its
center by a cable with torsion constant K = 0.5
Nm/rad and length 1 = 1 m. The system is immersed
in a fluid in such a way that it experiences a damping
force of constant b Ns/m. find:
a) The value of b for which the system is critically
damped.
b) Make a graph of angular position v/s time where
the period of the system can be seen explicitly, for a
value of b equal to half the critical value. Choose an
arbitrary value for the amplitude and initial phase of
the system.
Transcribed Image Text:A disk of radius R = 2 m, whose mass is distributed homogeneously and equals 6 kg, is suspended at its center by a cable with torsion constant K = 0.5 Nm/rad and length 1 = 1 m. The system is immersed in a fluid in such a way that it experiences a damping force of constant b Ns/m. find: a) The value of b for which the system is critically damped. b) Make a graph of angular position v/s time where the period of the system can be seen explicitly, for a value of b equal to half the critical value. Choose an arbitrary value for the amplitude and initial phase of the system.
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Free Damped Vibrations
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