A linear harmonic oscillator having a mass of 3.0kg is set into motion with viscous damping. if the frequency is 12HZ and if two successive amplitudes a full cycle apart are measured to be 4.65mm and 4.30mm, compute the viscous damping coefficient.

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 linear harmonic oscillator having a mass of 3.0kg is set into motion with viscous damping. if the frequency is 12HZ and if two successive
amplitudes a full cycle apart are measured to be 4.65mm and 4.30mm, compute the viscous damping coefficient.
Note: Give your answer to 3 decimal places
x (t)
Other Parameters:
Logarithmic Decrement (6):
Answer:
x2
X,
-In1
X2
21 C
8 = In
=5wn Td = 5wn
%3D
Xn+1
a2m
Damping Ratio (5): 5 =
%3D
t [s]
2vkm
Cc
2man
Frequency of damped vibration (wa): wa =
Undamped Forced Vibration:
Fo/k
Frequency Ratio (r): r -
p-xsin wt
Next page
ous page
Type here to search
Transcribed Image Text:A linear harmonic oscillator having a mass of 3.0kg is set into motion with viscous damping. if the frequency is 12HZ and if two successive amplitudes a full cycle apart are measured to be 4.65mm and 4.30mm, compute the viscous damping coefficient. Note: Give your answer to 3 decimal places x (t) Other Parameters: Logarithmic Decrement (6): Answer: x2 X, -In1 X2 21 C 8 = In =5wn Td = 5wn %3D Xn+1 a2m Damping Ratio (5): 5 = %3D t [s] 2vkm Cc 2man Frequency of damped vibration (wa): wa = Undamped Forced Vibration: Fo/k Frequency Ratio (r): r - p-xsin wt Next page ous page Type here to search
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Strain Gauge
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
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