A 5 kg object is hung from a spring whose other end is attached to a rigid support. The transient response of the object when immersed in a liquid is shown in Figure QA2a. The liquid is at room temperature. Determine: i. ii. the damping ratio, the stiffness of the spring and the damping coefficient; The damped frequency and natural frequency (in Hz).

A 5 kg object is hung from a spring whose other end is attached to a rigid support. The transient response of the object when immersed in a liquid is shown in Figure QA2a. The liquid is at room temperature. Determine: i. ii. the damping ratio, the stiffness of the spring and the damping coefficient; The damped frequency and natural frequency (in Hz).

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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

A 5 kg object is hung from a spring whose other end is attached to a rigid
support. The transient response of the object when immersed in a liquid is
shown in Figure QA2a. The liquid is at room temperature. Determine:
i.
ii.
the damping ratio, the stiffness of the spring and the damping
coefficient;
The damped frequency and natural frequency (in Hz).
Displacement (m)
0.3
0.28
0.26
0.24
0.22
0.2
0.18
0.16
0.14
0.12
0.5
mi
Time (s)
1.5
2

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