15. In the system shown to the right, the pulley has mass m and radius r, so that the moment of incrtia about the mass centor is Ic %3D a) Find thhe governing equations of mo- tion; b) Find the frequency of oscillation for free vibrations of the system;. c) For what value of the daámping constant is the system critically damped? 172 ww-

15. In the system shown to the right, the pulley has mass m and radius r, so that the moment of incrtia about the mass centor is Ic %3D a) Find thhe governing equations of mo- tion; b) Find the frequency of oscillation for free vibrations of the system;. c) For what value of the daámping constant is the system critically damped? 172 ww-

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

Metrology of Screw Threads

Screw threads are a series of ridges having the profile of a helix. This helix profile runs continuously along the length of a uniform solid or a hollow bar of a circular cross-section at periodic intervals. These helix ridges are also formed over a conical bar. These continuous helical ridges are termed threads.

Question

15.
In the system shown to the right, the pulley
has mass m and radius r, so that the noment
mr2
of incrtia about the mass center is Ic =
2
a) Find thhe governing equations of mo-
tion;
b) Find the frequency of oscillation for free
vibrations of:the system;.
c) For what value of the damping constant
is the system critically damped?
177

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