Consider the damped mass-spring system for mass of 0.9 kg, spring constant 8.7 N/m, damping 1.44 kg/s and an oscillating force 2.4 cos(wt) Newtons. That is, 0.9x" + 1.44x' + 8.7x = 2.4 cos(wt). What positive angular frequency w leads to maximum practical resonance? * help (numbers) W = What is the maximum displacement of the mass in the steady state solution when the we are at practical resonance: C(w) = * help (numbers)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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Consider the damped mass-spring system for mass of 0.9 kg, spring constant 8.7 N/m, damping
1.44 kg/s and an oscillating force 2.4 cos(wt) Newtons. That is,
0.9x" + 1.44x' + 8.7x = 2.4 cos(wt).
What positive angular frequency w leads to maximum practical resonance?
* help (numbers)
W =
What is the maximum displacement of the mass in the steady state solution when the we are at
practical resonance:
C(w) =
* help (numbers)
Submit answer
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Transcribed Image Text:Consider the damped mass-spring system for mass of 0.9 kg, spring constant 8.7 N/m, damping 1.44 kg/s and an oscillating force 2.4 cos(wt) Newtons. That is, 0.9x" + 1.44x' + 8.7x = 2.4 cos(wt). What positive angular frequency w leads to maximum practical resonance? * help (numbers) W = What is the maximum displacement of the mass in the steady state solution when the we are at practical resonance: C(w) = * help (numbers) Submit answer es help us deliver our services. By using our services, you agree to our use of cookies. OK Learn more
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