Homework 15. 2-6 Construct the Lissajous figures for the following motions: (a) \( x=\cos 2 \omega t, y=\sin 2 \omega t \). (b) \( x=\cos 2 \omega t, y=\cos (2 \omega t-\pi / 4) \). (c) \( x=\cos 2 \omega t, y=\cos \omega t \).
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We need to construct Lissajous figures for the given parametric equations. Lissajous figures are graphs of a system of parametric equations which describe complex harmonic motion. Show more…
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Construct the Lissajous figures for the following motions: (a) $x=\cos 2 \omega t, y=\sin 2 \omega t$ (b) $x=\cos 2 \omega t, y=\cos (2 \omega t-\pi / 4)$. (c) $x=\cos 2 \omega t, y=\cos \omega t$
The screen shown here is an example of a Lissajous figure. Lissajous figures occur in electronics and may be used to find the frequency of an unknown voltage. Graph each Lissajous figure for $t$ in $[0,6.5]$ in the window $[-6,6]$ by $[-4,4]$ (FIGURE CANNOT COPY) $$x=3 \cos 2 t, y=3 \sin 3 t$$
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The screen shown here is an example of a Lissajous figure. Lissajous figures occur in electronics and may be used to find the frequency of an unknown voltage. Graph each Lissajous figure for $t$ in $[0,6.5]$ in the window $[-6,6]$ by $[-4,4]$ (FIGURE CANNOT COPY) $$x=2 \cos t, y=3 \sin 2 t$$
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