Lissajous Figures

X - Oscillation A_x = 100 units ω_x = 1 rad/s

Y - Oscillation A_y = 100 units ω_y = 0.5 rad/s

δ = 45°

Two oscillations, one along the x axis and the other along the y axis when added result in a two dimensional motion. The path traced is known as Lissajous figures.In the animation x and y motions are x= Cos(ω_xt) and y =A Cos(ω_yt+δ) respectively