Consider the damped mass-spring system for mass of 0.3 kg, spring constant 4.4 N/m, damping 0.36 kg/s and an oscillating force 2.1cos(ωt) Newtons. That is,
0.3x′′+0.36x′+4.4x=2.1cos(ωt).
What positive angular frequency ω leads to maximum practical resonance?
ω=
What is the maximum displacement of the mass in the steady state solution when the we are at practical resonance:
C(ω)=