Consider the damped mass-spring system for mass of 1.5 kg, spring constant 10 N/m, lamping 3 kg/s and an oscillating force 4.7 cos(@t) Newtons. That is,
Consider the damped mass-spring system for mass of 1.5 kg, spring constant 10 N/m, lamping 3 kg/s and an oscillating force 4.7 cos(@t) Newtons. That is,
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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![Consider the damped mass-spring system for a mass of 1.5 kg, spring constant 10 N/m, damping 3 kg/s, and an oscillating force \(4.7 \cos(\omega t)\) Newtons. That is,
\[ 1.5x'' + 3x' + 10x = 4.7 \cos(\omega t). \]
What positive angular frequency \(\omega\) leads to maximum practical resonance?
\[
\omega = \_\_\_\_\_ \quad \text{help (numbers)}
\]
What is the maximum displacement of the mass in the steady state solution when we are at practical resonance:
\[
C(\omega) = \_\_\_\_\_ \quad \text{help}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F411fdfa3-98d6-4c96-a283-c3e756a59776%2Fb1b790ff-b30b-4be3-a83d-7fcbf16134f0%2Fhkpbsg_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the damped mass-spring system for a mass of 1.5 kg, spring constant 10 N/m, damping 3 kg/s, and an oscillating force \(4.7 \cos(\omega t)\) Newtons. That is,
\[ 1.5x'' + 3x' + 10x = 4.7 \cos(\omega t). \]
What positive angular frequency \(\omega\) leads to maximum practical resonance?
\[
\omega = \_\_\_\_\_ \quad \text{help (numbers)}
\]
What is the maximum displacement of the mass in the steady state solution when we are at practical resonance:
\[
C(\omega) = \_\_\_\_\_ \quad \text{help}
\]
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