Question

Example#10 Figure (a) shows a mechanical vibratory system. When 2 lb of force (step input) is applied to the system, the mass oscillates, as shown in Figure (b). Determine m, b, and k of the system from this response curve. P(2-lb force) x(t) 0.0095 ft 0.1 ft t (a) (b)

Name: example10 figure a shows a mechanical vibratory system when 2 lb of force step input is applied to the system the mass oscillates as shown in figure b determine m b and k of the system from 89035
Uploaded: 2024-08-16T16:10:38-08:00
Duration: 1 min 10 s
Channel: Lien Le
Description: example10 figure a shows a mechanical vibratory system when 2 lb of force step input is applied to the system the mass oscillates as shown in figure b determine m b and k of the system from 89035

          Example#10
Figure (a) shows a mechanical vibratory system. When 2 lb of force (step input) is applied to the system, the mass oscillates, as shown in Figure (b). Determine m, b, and k of the system from this response curve.
P(2-lb force)
x(t)
0.0095 ft
0.1
ft
t
(a)
(b)

example10 figure a shows a mechanical vibratory system when 2 lb of force step input is applied to the system the mass oscillates as shown in figure b determine m b and k of the system from 89035

Added by Nicole H.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Lien Le

08/16/2024

Step 1

1$ ft. The peak time, $t_p = 2$ s. The maximum overshoot, $M_p = 0.0095$ ft. The applied force is $F = 2$ lb. Step 2: Determine the stiffness $k$. For a step input to a mass-spring-damper system, the steady-state displacement is given by: $x_{ss} = Show more…

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Example#10 Figure (a) shows a mechanical vibratory system. When 2 lb of force (step input) is applied to the system, the mass oscillates, as shown in Figure (b). Determine m, b, and k of the system from this response curve. P(2-lb force) x(t) 0.0095 ft 0.1 ft t (a) (b)