Q2 A mass-spring system is shown in Figure Q2 with mi = 10 kg, m2 = 20 kg, kı = (10+P) N/m, k2 = (10+Q) N/m and kz = (20

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Q2 A Mass Spring System Is Shown In Figure Q2 With Mi 10 Kg M2 20 Kg Ki 10 P N M K2 10 Q N M And Kz 20 1 (103.75 KiB) Viewed 18 times

Q2 A mass-spring system is shown in Figure Q2 with mi = 10 kg, m2 = 20 kg, kı = (10+P) N/m, k2 = (10+Q) N/m and kz = (20+R) 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: ክn 08. [(kg+k) + - k, 1x, x2 -kz (hz + K₃ ) 1 x (k) X + = = II 0 m2 (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)

2000 ki mi T www k2 m2 T .x26) k3 Figure Q2