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A body of mass 70 kg is suspended from a spring which deflects 20 mm and is subjected to a damping effect adjusted to a value of 0.23 times that required for critical damping. Find the natural frequency of the undamped and undamped vibrations and the ratio of successive amplitudes for damped vibrations. If the body is subjected to a periodic disturbing force of 700 N and of frequency equal to 0.78 times the natural frequency, find the amplitude of forced vibrations and the phase difference with respect to the disturbing force.

A body of mass 70 kg is suspended from a spring which deflects 20 mm and is subjected to a damping effect adjusted to a value of 0.23 times that required for critical damping. Find the natural frequency of the undamped and undamped vibrations and the ratio of successive amplitudes for damped vibrations. If the body is subjected to a periodic disturbing force of 700 N and of frequency equal to 0.78 times the natural frequency, find the amplitude of forced vibrations and the phase difference with respect to the disturbing force.

Elements Of Electromagnetics
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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A body of mass 70 kg is suspended from a spring which deflects 20 mm and is subjected to a damping effect adjusted to a value of 0.23 times that required for critical damping. Find the natural frequency of the undamped and undamped vibrations and the ratio of successive amplitudes for damped vibrations. If the body is subjected to a periodic disturbing force of 700 N and of frequency equal to 0.78 times the natural frequency, find the amplitude of forced vibrations and the phase difference with respect to the disturbing force.
Transcribed Image Text:A body of mass 70 kg is suspended from a spring which deflects 20 mm and is subjected to a damping effect adjusted to a value of 0.23 times that required for critical damping. Find the natural frequency of the undamped and undamped vibrations and the ratio of successive amplitudes for damped vibrations. If the body is subjected to a periodic disturbing force of 700 N and of frequency equal to 0.78 times the natural frequency, find the amplitude of forced vibrations and the phase difference with respect to the disturbing force.
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