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 (36.7 KiB) Viewed 63 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 (30.62 KiB) Viewed 63 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
m Uniform rigid rod 1 = = mi m2 bi = 200 mm b2 = 400 mm m= 5 kg m = 45 kg m2 = 20 kg kj = 500 N/mm k2 = 200 N/mm c= 5200 N.s/m ki k2 bi b2 Fig. 2