- K1 10n M K2 12n M K3 27n M 1 (43.76 KiB) Viewed 20 times
ki I ky m, T x30 ) Figure Q2
k1=10n/m k2=12N/m k3=27N/m
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k1=10n/m k2=12N/m k3=27N/m
k1=10n/m k2=12N/m k3=27N/m
Q2 A mass-spring system is shown in Figure Q2 with mı = 10 kg, m2 = 20 kg, ki = (10+P) N/m, k2 = (10+Q) N/m and k3 = (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. (b) Examine that the equation of motion for the system as: [m, 0172 [(ky +k) 0 m2 132 -k₂ (k2 +k;)] x2 (c) Determine the natural frequencies of the system. (d) Evaluate the mode shapes of the system complete with the mode shape diagram.
ki I ky m, T x30 ) Figure Q2
Q2 A mass-spring system is shown in Figure Q2 with mı = 10 kg, m2 = 20 kg, ki = (10+P) N/m, k2 = (10+Q) N/m and k3 = (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. (b) Examine that the equation of motion for the system as: [m, 0172 [(ky +k) 0 m2 132 -k₂ (k2 +k;)] x2 (c) Determine the natural frequencies of the system. (d) Evaluate the mode shapes of the system complete with the mode shape diagram.
ki I ky m, T x30 ) Figure Q2
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