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V(x)=1/2 mw²x² (classical 1D harmonic oscillator of mass (m) moving in a potential) P(0) sin(or) x(1) = x(0)cos(ot)+ p(t)=-mwx(0)sin(wt)+ p(0)cos(»t) We need to show that the energy is conserved.

V(x)=1/2 mw²x² (classical 1D harmonic oscillator of mass (m) moving in a potential) P(0) sin(or) x(1) = x(0)cos(ot)+ p(t)=-mwx(0)sin(wt)+ p(0)cos(»t) We need to show that the energy is conserved.

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Question: V(x)=1/2 mw?x² (classical 1D harmonic oscillator of mass (m) moving in a potential) PO sin(ot) x(1) = x(0)cos(o1)+ p(t)= -moɔx(0)sin(ot)+ p(0)cos(ot) We need to show that the energy is conserved.
Transcribed Image Text:Question: V(x)=1/2 mw?x² (classical 1D harmonic oscillator of mass (m) moving in a potential) PO sin(ot) x(1) = x(0)cos(o1)+ p(t)= -moɔx(0)sin(ot)+ p(0)cos(ot) We need to show that the energy is conserved.
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