14. For the system shown to the right, the disk of mass m rolls without slip and z mcasures the displaccmcnt of the disk from the unstretchcd position of the spring. 3k a) find the cquations of motion; m b) if the systemi is inderdamped, wliat is the frequency of the free vibrations of this system in terms of the paranıcters k, c, and m;

14. For the system shown to the right, the disk of mass m rolls without slip and z mcasures the displaccmcnt of the disk from the unstretchcd position of the spring. 3k a) find the cquations of motion; m b) if the systemi is inderdamped, wliat is the frequency of the free vibrations of this system in terms of the paranıcters k, c, and m;

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

14.
For the system shown to the right, the disk of
mass m rolls without slip and z measures the
displaccment of the disk from the unstretchcd
position of the spring.
3k
a) find the cquations of motion;
b) if the system is inderdamped, whiat is
the frequency of the frec vibrations of
this system in terms of the parancters
k, с, and m;

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