In a 2D anisotropic harmonic oscillator, a small object of mass m=100 g is attached on both sid

First, we need to understand that the motion of the object is described by two independent harmo

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In a 2D anisotropic harmonic oscillator, a small object of mass \( m=100 \mathrm{~g} \) is attached on both sides to a pair of light springs with different spring constants along each of the Cartesian coordinate axis; \( x \) - and \( y \)-axis. The spring constant along the \( x \) - and \( y \)-axis is \( 0.4 \pi^{2} \) and \( 0.1 \pi^{2} \) \( \mathrm{N} / \mathrm{m} \), respectively. In all calculations, neglect the effects of weight and air resistance on the object, and set the acceleration due to gravity \( g=10 \mathrm{~ms}^{-2} \).

          In a 2D anisotropic harmonic oscillator, a small object of mass \( m=100 \mathrm{~g} \) is attached on both sides to a pair of light springs with different spring constants along each of the Cartesian coordinate axis; \( x \) - and \( y \)-axis. The spring constant along the \( x \) - and \( y \)-axis is \( 0.4 \pi^{2} \) and \( 0.1 \pi^{2} \) \( \mathrm{N} / \mathrm{m} \), respectively. In all calculations, neglect the effects of weight and air resistance on the object, and set the acceleration due to gravity \( g=10 \mathrm{~ms}^{-2} \).

In a 2D anisotropic harmonic oscillator, a small object of mass m=100 g is attached on both sides to a pair of light springs with different spring constants along each of the Cartesian coordinate axis; x - and y-axis. The spring constant along the x - and y-axis is 0.4 π^2 and 0.1 π^2 N / m, respectively. In all calculations, neglect the effects of weight and air resistance on the object, and set the acceleration due to gravity g=10 ms^-2.

Added by Christopher H.

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