2000 ki mi T ()'x 2000 m2 T X26) 00000 Figure Q2 Q2 A mass-spring system is shown in Figure Q2 with mi = 10 kg, m2 = 2
Posted: Fri Apr 29, 2022 10:08 am
Note that :
P - 2
Q- 9
R - 6
2000 ki mi T ()'x 2000 m2 T X26) 00000 Figure Q2
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 k3 = (20+R) 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, O Sky + kg) -ky Vxl 0 m2JX2 -k (ką +k;)] X2 (6 marks) (c) Determine the natural frequencies of the system. (7 marks) (d) Evaluate and illustrate the mode shapes of the system. (8 marks)
P - 2
Q- 9
R - 6
2000 ki mi T ()'x 2000 m2 T X26) 00000 Figure Q2
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 k3 = (20+R) 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, O Sky + kg) -ky Vxl 0 m2JX2 -k (ką +k;)] X2 (6 marks) (c) Determine the natural frequencies of the system. (7 marks) (d) Evaluate and illustrate the mode shapes of the system. (8 marks)