An Oscillatory system consists of a mass, m = 120 slugs, a spring constant, k = 40 lb/in, and a damping coefficient, c = 5lb.sec/in. Determine a.The natural frequency. b.The damping ratio. c.The damped frequency. d.The maximum amplitude if u0 = 0.2in and v0 = 0.5in/sec.
An Oscillatory system consists of a mass, m = 120 slugs, a spring constant, k = 40 lb/in, and a damping coefficient, c = 5lb.sec/in. Determine a.The natural frequency. b.The damping ratio. c.The damped frequency. d.The maximum amplitude if u0 = 0.2in and v0 = 0.5in/sec.
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
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I need help with part D, I 've attached A/B/C, please help
An Oscillatory system consists of a mass, m = 120 slugs, a spring constant, k = 40 lb/in, and a damping coefficient, c = 5lb.sec/in. Determine
a.The natural frequency.
b.The damping ratio.
c.The damped frequency.
d.The maximum amplitude if u0 = 0.2in and v0 = 0.5in/sec.
![a) Natural angular frequency
40
W. =
3860.89
W. = 0. 1018 radlsec
natural frequency, fa =
2x
f.
0.1018
f, = 0.0162 Hz
Step 3
b) Damping ratio =
2mw.
E =
2x 3860.89 10.1018
E = 0.00636
c) Damped frequency
Wa = V1 - e wn
VI - (0.00636)? x0. 1018
Wa = 0. 101798 rad/sec
Wa](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F313757c0-07f8-44db-a52e-96f1effcd439%2Fe61a4789-e155-4411-9e02-8dce0bde492c%2Fslauj6_processed.png&w=3840&q=75)
Transcribed Image Text:a) Natural angular frequency
40
W. =
3860.89
W. = 0. 1018 radlsec
natural frequency, fa =
2x
f.
0.1018
f, = 0.0162 Hz
Step 3
b) Damping ratio =
2mw.
E =
2x 3860.89 10.1018
E = 0.00636
c) Damped frequency
Wa = V1 - e wn
VI - (0.00636)? x0. 1018
Wa = 0. 101798 rad/sec
Wa
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