Q2 A Mass Spring System Is Shown In Figure Q2 With M1 10 Kg M2 20 Kg K1 10 N M K2 11 N M And K3 26 N 1 (12.68 KiB) Viewed 24 times
Q2) A mass-spring system is shown in Figure Q2 with m1 = 10 kg, m2 = 20 kg, k1 = (10) N/m, k2 = (11) N/m and k3 = (26) 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 [ (ky + K₂) 一合 - ky 1x X1 0 m2 -k, (k, +k) 07% 0 + = (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. 18 marks
200 kt mi X:(0 2006 k2 m2 T x20) www k3 7 Figure Q2
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