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 k3 = (20+R)
Posted: Fri Apr 29, 2022 10:08 am
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 k3 = (20+R) N/m. (a) 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) 0 Examine that the equation of motion for the system as: m 07 (4+k;) -k, , 0 9123 -k (ka+k)] + (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)
7771 4. ) ա) I UMO Figure Q2
7771 4. ) ա) I UMO Figure Q2