A body of mass 70 kg is suspended from a spring which deflects 20 mm and is subjectedto 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 ofsuccessive amplitudes for damped vibrations. If the body is subjected to a periodicdisturbing force of 700 N and of frequency equal to 0.78 times the natural frequency, findthe amplitude of forced vibrations and the phase difference with respect to the disturbingforce.

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Answered: A body of mass 70 kg is suspended from…

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 machine having a mass of 5 kg vibrates in a viscous medium. A harmonic force of 50 N acting on it causes the resonant amplitude of 20 mm with a period of 0.3 sec. (a) Find the damping coefficient (b) if the frequency of exciting force is decreased by 20% with respect to natural frequency, find the maximum amplitude. Find out the increase in amplitude of the forced vibration when damper is removed
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An underdamped shock absorber is to be designed for a motor cycle of mass 200 kg(m). When the shock absorber is subjected to an initial vertical velocity due to a road bump, the resulting displacement-time curve is to be as indicated below. Find the necessary stiffness and damping constants of the shock absorber if the damped period of vibration is to be 10 sec(τd) and the amplitude x1is to be reduced to one-eighth in one half cycle. Example is attached
A machine weighing 300lb is mounted on a supporting system consisting of four springs and four dampers. The vertical deflection of the supporting system under the weight of the machine is measured as 0.75in. The dampers are designed to reduce the amplitudeof vertical vibration to one-sixthof the initial amplitude after two complete cycles of free vibration. Find the following undamped natural frequency,damping ratio, and damped natural frequencyofthesystem.
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A mass of 5 kg is suspended on a spring and set on oscillations. It is observed that theamplitude reduces to 5% of its initial value after 2 oscillations. It takes 0.5 seconds to do thetwo oscillations. Calculate the following.(i) The damping ratio(ii) The natural frequency(iii) The actual frequency(iv) The spring stiffness(v) The critical damping coefficient(vi) The actual damping coefficient
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