Needs Complete solution with 100 % accuracy. 1.Consider the mass m in the connected system shown. The solid rod is assumedto have zero weight. The angular displacement is small such that sin 0~0 and cos≈ 1.Establish the ODE governing the angular motion 0(t) about the pivot point O. Identifythe damping constant and natural frequency.2(10 points) Th quatom ck1mum onwwwowing pagweight: (a) tho lump weight W

Given:To find:Damping constant and natural frequency

1. Consider the mass m in the connected system shown. The solid rod is assumed to have zero weight. The angular displacement is small such that sin≈ 0 and cos 01. Establish the ODE governing the angular motion 0(t) about the pivot point O. Identify the damping constant and natural frequency.

1. Consider the mass m in the connected system shown. The solid rod is assumed to have zero weight. The angular displacement is small such that sin≈ 0 and cos 01. Establish the ODE governing the angular motion 0(t) about the pivot point O. Identify the damping constant and natural frequency.

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

Needs Complete solution with 100 % accuracy.

1.
Consider the mass m in the connected system shown. The solid rod is assumed
to have zero weight. The angular displacement is small such that sin 0~0 and cos≈ 1.
Establish the ODE governing the angular motion 0(t) about the pivot point O. Identify
the damping constant and natural frequency.
2
(10 points) Th quatom c
k
1
m
um on
www
owing pag
weight: (a) tho lump weight W

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