Unformatted text preview: (a) to solve for the motion of the ball. Does it match what you
predicted? If not, explain how to reconcile any diﬀerences. CONTINUED –2– PHYS 2210 3. Consider the motion of a 2D non-isotropic oscillator, in which the spring constant in the x direction (kx ) is
not equal to the spring constant in the y direction (ky ). Each trajectory below depicts the possible motion
of a unique non-isotropic oscillator. All three oscillators, share the property that the angular frequencies ωx
and ωy for the motions along the x- and y-axes are commensurate, i.e., that the angular frequencies satisfy
the following relationship: ωx = ny where n1 and n2 are integers. For each case below,
2 Figure 2:
(a) determine whether ωx is greater than, less than, or equal to ωy , and determine the values n1 and n2
that satisfy the condition. Explain.
(b) Using Mathematica generate the three Lissajous plots shown above (You ca...
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