The following data is given for the two degrees of freedom spring-mass-damper system: i. m1= 5 kg; ii. nn2 = 7.5 kg; ii. k1= 10 N/m; v. k2 = 15 N/m; v. c1= 150 N/ (m/sec); ri. c2 = 100 N/ (m/sec); ii....

The following data is given for the two degrees of freedom spring-mass-damper system: i. m1= 5 kg; ii. nn2 = 7.5 kg; ii. k1= 10 N/m; v. k2 = 15 N/m; v. c1= 150 N/ (m/sec); ri. c2 = 100 N/ (m/sec); ii. F1 (t) = (100 +8) N/m; and ii. F2 (t) = (150 +8) N/m; Determine: i. The damped natural frequencies; ii. The mode shapes; and The maximum amplitudes of vibrationNote:lgnore the K3 and C3