A mass-spring system is shown in Figure Q2 with m = 10 kg, m = 20 kg, ki = (10+P) N/m, 62 = (10+0) N/m and k3 = (20+R) N

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A Mass Spring System Is Shown In Figure Q2 With M 10 Kg M 20 Kg Ki 10 P N M 62 10 0 N M And K3 20 R N 1 (33.89 KiB) Viewed 32 times

A mass-spring system is shown in Figure Q2 with m = 10 kg, m = 20 kg, ki = (10+P) N/m, 62 = (10+0) 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 (4 marks) (b) Examine that the equation of motion for the system as: [m, o ( + k) -k, 19 -k, (k, + ks) LX 0 0 m (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) 00000 721 T x (1) mm k2 T (1) 000 Figure Q2 P=1,0=9,R=5 NEED ANSWER ASAP #MECHANICAL ENGINEERING