Consider a non-isotropic two-dimensional harmonic oscillator for which the potential energy is 1 1 V(x,y) = x² + y² Solve for the equations of motion, considering the particle to have a unit

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Consider a non-isotropic two-dimensional harmonic oscillator for which
the potential energy is
1
1
2
P(x,y) = x² + y²
Solve for the equations of motion, considering the particle to have a unit
mass. Let
= 4₂
and V₁ = a₁i
Draw an orbit representing this motion.
Transcribed Image Text:Consider a non-isotropic two-dimensional harmonic oscillator for which the potential energy is 1 1 2 P(x,y) = x² + y² Solve for the equations of motion, considering the particle to have a unit mass. Let = 4₂ and V₁ = a₁i Draw an orbit representing this motion.
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