A free vibration of the mechanical system shown in Figure 8-27(a) indicates that the amplitude of vibration decreases to 25% of the value at = 1, after four consecutive cycles of motion, as Figure 8-27(b) shows. Determine the viscous-friction coefficient b of the system if m = 1 kg and k = 500 N/m. * = 0.25 x, (a) (b)

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Problem B-8–7
A free vibration of the mechanical system shown in Figure 8–27(a) indicates that the
amplitude of vibration decreases to 25% of the value at = t, after four consecutive
cycles of motion, as Figure 8-27(b) shows. Determine the viscous-friction coefficient b
of the system if m = 1 kg and k = 500 N/m.
X4 = 0.25 x,
b
m
(a)
(b)
Figure 8-27 (a) Mechanical system: (b) portion of a free-vibration curve.
Transcribed Image Text:Problem B-8–7 A free vibration of the mechanical system shown in Figure 8–27(a) indicates that the amplitude of vibration decreases to 25% of the value at = t, after four consecutive cycles of motion, as Figure 8-27(b) shows. Determine the viscous-friction coefficient b of the system if m = 1 kg and k = 500 N/m. X4 = 0.25 x, b m (a) (b) Figure 8-27 (a) Mechanical system: (b) portion of a free-vibration curve.
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