9. A mass of 20 g stretches a spring 5 cm. Suppose that the mass is also attached to a viscous damper with a damping constant of 400 dyn-s/cm. If the mass is pulled down an additional 2 cm and then released, find its position u at any time r. Plot u versus r. Determine the quasi frequency and the quasi period. Determine the ratio of the quasi period to the period of the corresponding undamped motion. Also find the time r such that ju(r)| < 0.05 cm for all /> t.

9. A mass of 20 g stretches a spring 5 cm. Suppose that the mass is also attached to a viscous damper with a damping constant of 400 dyn-s/cm. If the mass is pulled down an additional 2 cm and then released, find its position u at any time r. Plot u versus r. Determine the quasi frequency and the quasi period. Determine the ratio of the quasi period to the period of the corresponding undamped motion. Also find the time r such that ju(r)| < 0.05 cm for all /> t.

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.

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29. A mass of 20 g stretches a spring 5 cm. Suppose that the mass is also attached to a viscous
damper with a damping constant of 400 dyn-s/cm. If the mass is pulled down an additional
2 cm and then released, find its position u at any time r. Plot u versus r. Determine the quasi
frequency and the quasi period. Determine the ratio of the quasi period to the period of
the corresponding undamped motion. Also find the time r such that Ju(r)] < 0.05 cm for
all />t.

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