6. Write down the differential equations of motion of small free vibration of the systems shown in Fig. 1 to Fig. 3. For

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6 Write Down The Differential Equations Of Motion Of Small Free Vibration Of The Systems Shown In Fig 1 To Fig 3 For 1 (37.12 KiB) Viewed 44 times

6 Write Down The Differential Equations Of Motion Of Small Free Vibration Of The Systems Shown In Fig 1 To Fig 3 For 2 (33.79 KiB) Viewed 44 times

6. Write down the differential equations of motion of small free vibration of the systems shown in Fig. 1 to Fig. 3. For each of the underdamped systems, determine: a) The frequency of free vibration. b) The logarithmic decrement. c) The percentage reduction in peak displacement per cycle, when the system is vibrating freely. 2
= dı, G d2, G2 D1 D2 ma Li = 800 mm L2 = 1200 mm di = 30 mm d2 = 20 mm G = 8 x 1010 N/m² G2 = 8 x 1010 N/m² I = 0.009 kg.m? D = 0.12 N.m.s/rad D2 = 0.06 N.m.s/rad Li L2 D, and D2 are tortional dampers