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
Posted: Fri Apr 29, 2022 10:07 am
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
2000 ki mi T www k2 m2 T .x26) k3 Figure Q2