The swinging frame of a balancing machine is shown in figure 1. The lever ACB has a mass of 6 kg and a radius of gyration of 75 mm about its centre of gravity which is at pivot C. The lever FD is of uniform section and has a mass of 1 kg. It carries a mass of 0,75 kg at E. The mass of the connecting link at BD may be ignored. The stiffness of the compression springs at A and B is 5,6 kg/m. Determine the frequency of vibration of the system.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The swinging frame of a balancing machine is shown in figure 1. The lever ACB has a mass of 6 kg and
a radius of gyration of 75 mm about its centre of gravity which is at pivot C. The lever FD is of
uniform section and has a mass of 1 kg. It carries a mass of 0,75 kg at E. The mass of the connecting
link at BD may be ignored. The stiffness of the compression springs at A and B is 5,6 kg/m. Determine
the frequency of vibration of the system.
F
50
350
300
E
100
B
D
Fig. 1
mf
SXA
Free body diagram
SXB
B
Transcribed Image Text:The swinging frame of a balancing machine is shown in figure 1. The lever ACB has a mass of 6 kg and a radius of gyration of 75 mm about its centre of gravity which is at pivot C. The lever FD is of uniform section and has a mass of 1 kg. It carries a mass of 0,75 kg at E. The mass of the connecting link at BD may be ignored. The stiffness of the compression springs at A and B is 5,6 kg/m. Determine the frequency of vibration of the system. F 50 350 300 E 100 B D Fig. 1 mf SXA Free body diagram SXB B
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