Which of the following statements are valid for the rod below that is undergoing fixed axis rotation about pin O, where the spring constant is k = 115 N/m and the damping coefficient is c = 302 N.s/m?  The slender rod has mass m = 17 kg and length L = 0.6 m.  The differential equation governing the motion of the rod is given below. (In the statements below, wn denotes the natural frequency ωn, while wd denotes the damped frequency ωd.) a) Damped vibration, wn and wd not applicable b) Underdamped, wn = 2.60 rad/s, wd = 17.57 rad/s c) Overdamped, wn = 2.25 rad/s, wd not applicable d) Overdamped, wn

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

Which of the following statements are valid for the rod below that is undergoing fixed axis rotation about pin O, where the spring constant is k = 115 N/m and the damping coefficient is c = 302 N.s/m?  The slender rod has mass m = 17 kg and length L = 0.6 m.  The differential equation governing the motion of the rod is given below. (In the statements below, wn denotes the natural frequency ωn, while wd denotes the damped frequency ωd.)

a) Damped vibration, wn and wd not applicable
b) Underdamped, wn = 2.60 rad/s, wd = 17.57 rad/s
c) Overdamped, wn = 2.25 rad/s, wd not applicable
d) Overdamped, wn = 2.60 rad/s, wd not applicable
e) Underdamped, wn = 2.25 rad/s, wd = 26.55 rad/s
2
2
1
mL²è+cè+k= 0
12
4
16
니/2
L/4
L/2
Transcribed Image Text:2 2 1 mL²è+cè+k= 0 12 4 16 니/2 L/4 L/2
Expert Solution
steps

Step by step

Solved in 3 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.
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