Show that for an underdamped harmonic oscillator (i.e., b < 2/mk), the position function can be expressed as æ (t) = Be-(6/2m)t cos(wt – 4) where 4mk–b? and B is any constant. 4m2

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Show that for an underdamped harmonic oscillator (i.e., b < 2/mk), the position
function can be expressed as æ(t) = Be-(6/2m)t cos(wt – 6) where
4mk-b?
w?
and B is any constant.
4m?
Transcribed Image Text:Show that for an underdamped harmonic oscillator (i.e., b < 2/mk), the position function can be expressed as æ(t) = Be-(6/2m)t cos(wt – 6) where 4mk-b? w? and B is any constant. 4m?
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