For the given parameters for a forced mass-spring-dashpot system with equation mx" + cx' + kx = F, cos ot. Investigate the possibility of practical resonance of thissystem. In particular, find the amplitude C(@) and find the practical resonance frequency o (if any).m = 1, c = 7, k = 35, Fo = 55

Given, The forced mass-spring dashpot system has a equation: mx''+cx'+kx=Focosωt Here, m=1 c=7 k=35 Fo=55 The particle resonant frequency is: ω=km-c22m2=351-722×12=3.24 HzThe amplitude is: CωFok-mω22+cω2=5535-3.2422+3.242=2.22 m

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For the given parameters for a forced mass-spring-dashpot system with equation mx" + cx' + kx =F, cos ot. Investigate the possibility of practical resonance of this system. In particular, find the amplitude C(m) and find the practical resonance frequency o (if any). m = 1, c= 7, k= 35, Fo = 55