A simple harmonic oscillator, of mass m and natural frequency wo, experiences an oscillating driving force f(t) = ma cos wt. Therefore, its equation of motion is d²x + wóx = a cos wt, dt2 where x is its position. Given that at t function x(t). Describe the solution if w is approximately, but not exactly, equal 0 we have x = dx/dt = 0, find the to wg.
A simple harmonic oscillator, of mass m and natural frequency wo, experiences an oscillating driving force f(t) = ma cos wt. Therefore, its equation of motion is d²x + wóx = a cos wt, dt2 where x is its position. Given that at t function x(t). Describe the solution if w is approximately, but not exactly, equal 0 we have x = dx/dt = 0, find the to wg.
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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Question
A simple harmonic oscillator, of mass and natural frequency , experiences an
oscillating driving force . Therefore, its equation of motion is
where is its position. Given that at we have , , find the
function . Describe the solution if is approximately, but not exactly, equal to .
Transcribed Image Text:A simple harmonic oscillator, of mass m and natural frequency wo, experiences
an oscillating driving force f(t) = ma cos wt. Therefore, its equation of motion is
d²x
+ wix = a cos wt,
dt2
where x is its position. Given that at t = 0 we have x =
function x(t). Describe the solution if w is approximately, but not exactly, equal
dx/dt = 0, find the
to wo.
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