Q2 A Mass Spring System Is Shown In Figure Q2 With Mi 10 Kg M2 20 Kg Ki 10 N M K2 12 N M And K3 23 N M A 1 (32.55 KiB) Viewed 41 times
Q2 A Mass Spring System Is Shown In Figure Q2 With Mi 10 Kg M2 20 Kg Ki 10 N M K2 12 N M And K3 23 N M A 2 (9.81 KiB) Viewed 41 times
Q2 A mass-spring system is shown in Figure Q2 with mi = 10 kg, m2 = 20 kg, ki = 10 N/m, k2 = 12 N/m and k3 = 23 N/m. (a) If the system is made to vibrate freely in vertical direction, draw a free body diagram for the system. (4 marks) (b) Proof that the equation of motion for the system as: [m, 0 1 T(k, +k) - kz 0 m2 x (k, +k) + -k, (6 marks) (c) Determine the natural frequencies of the system. (7 marks) (d) Evaluate and illustrate the mode shapes of the system. (8 marks)
mi T T www k2 m2 T .X26) www K3 Figure Q2
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