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1. The forced spring mass oscillator in the presence of an external periodic force has the form: mx+cx+kx=F sint, where m, c and k are the mass, damping coefficient and the spring constant respectively. In addition, F and are the amplitude and frequency of the external force respectively. Assume x(0) = x(0) = 0.

1. The forced spring mass oscillator in the presence of an external periodic force has the form: mx+cx+kx=F sint, where m, c and k are the mass, damping coefficient and the spring constant respectively. In addition, F and are the amplitude and frequency of the external force respectively. Assume x(0) = x(0) = 0.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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 Solve the differential equation for the following cases

1. The forced spring mass oscillator in the presence of an external periodic force has the form: mx+cx+kx = F sint, where m, c and k are the mass, damping coefficient and the spring constant respectively. In addition, F and w are the amplitude and frequency of the external force respectively. Assume x(0) = x(0) = 0. 0 12~
Transcribed Image Text:1. The forced spring mass oscillator in the presence of an external periodic force has the form: mx+cx+kx = F sint, where m, c and k are the mass, damping coefficient and the spring constant respectively. In addition, F and w are the amplitude and frequency of the external force respectively. Assume x(0) = x(0) = 0. 0 12~
b) Solve the differential equation for the following cases: i)c=0, @ = 2 ii) č=0, @ = 1
Transcribed Image Text:b) Solve the differential equation for the following cases: i)c=0, @ = 2 ii) č=0, @ = 1
Expert Solution
Step 1: Introduction

Given a differential equation:

m x with.. on top plus c x with. on top plus k x equals F subscript 0 sin omega subscript 0 t

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