The following data is given for the spring-mass-damper system shown in Figure 1:• K = 250 N/m, K2 = 350 N/m• C1 = 150 N/ (m/sec), C2 = 200 N/ (m/sec)• m = 47 kgDetermine:i. The undamped natural frequency.ii. The damping ratio.The damped natural frequency.Response of the system x (t) for given initial conditions:xo = 0.005 m and vo = 5 m/sec.ii.iv.x(t)k1k2wommC1C2Figure 1

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Answered: Determine: i. The undamped natural…

Determine: i. The undamped natural frequency. The damping ratio. The damped natural frequency. ii. 111. Response of the system x (t) for given initial conditions: Xo = 0.005 m and vo = 5 m/sec. iv.

Elements Of Electromagnetics

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Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

The following data is given for the spring-mass-damper system shown in Figure 1:
• K = 250 N/m, K2 = 350 N/m
• C1 = 150 N/ (m/sec), C2 = 200 N/ (m/sec)
• m = 47 kg
Determine:
i. The undamped natural frequency.
ii. The damping ratio.
The damped natural frequency.
Response of the system x (t) for given initial conditions:
xo = 0.005 m and vo = 5 m/sec.
ii.
iv.
x(t)
k
1
k
2
wom
m
C1
C2
Figure 1

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