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. x0.25 x (a) (b) Figure 8-27 (a) Mechanical system: (b) portion of a free-vibration curve.

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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 = 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)
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 = 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) Figure 8-27 (a) Mechanical system: (b) portion of a free-vibration curve.
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