The below figure shows a uniform circular disc compound pendulum of mass m and radius a which is pivoting around point O. If the disc were to be displaced by a small angular displacement from its equilibrium position, find: 1. The equation of motion (EOM) of the disc for small angular displacements. 2. The natural frequency of the disc. 3. The values of b for which the above determined natural frequency is maximum.

The below figure shows a uniform circular disc compound pendulum of mass m and radius a which is pivoting around point O. If the disc were to be displaced by a small angular displacement from its equilibrium position, find: 1. The equation of motion (EOM) of the disc for small angular displacements. 2. The natural frequency of the disc. 3. The values of b for which the above determined natural frequency is maximum.

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

Types of loading

In mechanical terminology, the term load indicates that external force/weight, either constant or variable, acts on a mechanical member/structure. The weight of an object of a specific material is also an external load, and the external force that works on a structure comes under the categories of loading. The external load generates its effects as stress and strain in the structure.

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The below figure shows a uniform circular disc compound pendulum of mass m
and radius a which is pivoting around point O. If the disc were to be displaced by a
small angular displacement from its equilibrium position, find:
1. The equation of motion (EOM) of the disc for small angular displacements.
2. The natural frequency of the disc.
3. The values of b for which the above determined natural frequency is
maximum.
b

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