2 A Mass Spring System Is Shown In Figure Q2 With Mi 10 Kg M2 20 Kg Ki 10 N M K2 13 N M And K3 25 N 1 (30.46 KiB) Viewed 18 times
2 A Mass Spring System Is Shown In Figure Q2 With Mi 10 Kg M2 20 Kg Ki 10 N M K2 13 N M And K3 25 N 2 (12.24 KiB) Viewed 18 times
2 A mass-spring system is shown in Figure Q2 with mı = 10 kg, m2 = 20 kg, ki = ( 10 N/m, k2 = ( 13 N/m and k3 = ( 25 ) N/m. (a) Draw a free body diagram for the system by assuming that the system is made to vibrate freely in vertical direction. (4 marks) (b) Examine that the equation of motion for the system as: [m, 0 % X; L. (k, + kg) X; 0 m2 -k₂ (k+k) x2] -kz (6 marks) (c) Determine the natural frequencies of the system. (7 marks) (d) Evaluate the mode shapes of the system complete with the mode shape diagram. (8 marks)
ki mi T k2 m2 T x20) k3
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