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