Consider the damped mass-spring system for mass of 0.1 kg, spring constant 6.3 N/m, damping 0.3 kg/s and an oscillating force 1.3 cos(wt) Newtons. That is, 0.1a" + 0.3x' + 6.3x = 1.3 cos(wt). What positive angular frequency w leads to maximum practical resonance? W = help (numbers) What is the maximum displacement of the mass in the steady state solution when the we are at practical resonance:
Consider the damped mass-spring system for mass of 0.1 kg, spring constant 6.3 N/m, damping 0.3 kg/s and an oscillating force 1.3 cos(wt) Newtons. That is, 0.1a" + 0.3x' + 6.3x = 1.3 cos(wt). What positive angular frequency w leads to maximum practical resonance? W = help (numbers) What is the maximum displacement of the mass in the steady state solution when the we are at practical resonance:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the damped mass-spring system for mass of 0.1 kg, spring constant 6.3
N/m, damping 0.3 kg/s and an oscillating force 1.3 cos(wt) Newtons. That is,
0.1x" + 0.3x'+ 6.3x
1.3 cos(wt).
What positive angular frequency w leads to maximum practical resonance?
W =
help (numbers)
What is the maximum displacement of the mass in the steady state solution when
the we are at practical resonance:
C(w) =
help
(numbers)
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