FIguras de Lissajous

1. φ=0 φ=
𝛑
𝟒
φ=
𝛑
𝟐
φ=
𝟑𝛑
𝟒
φ= π
𝛚 𝟏 = 𝟏
𝛚 𝟐 = 𝟏
x=2.5Cos(2t)
Y=2.5Cos(2t)
x=2.5Cos(2t)
Y=2.5Cos(2t+ π/4)
x=2.5Cos(2t)
Y=2.5Cos(2t+ π/2)
x=2.5Cos(2t)
Y=2.5Cos(2t+ 3π/4)
x=2.5Cos(2t)
Y=2.5Cos(2t+ π)
𝛚 𝟏 = 𝟐
𝛚 𝟐 = 𝟏
x=2.5Cos(2t)
Y=2.5Cos(t)
x=2.5Cos(2t)
Y=2.5Cos(t+ π/4)
x=2.5Cos(2t)
Y=2.5Cos(t+ π/2)
x=2.5Cos(2t)
Y=2.5Cos(t+2π/4)
X=2.5Cos(2t)
Y=2.5Cos(t+ π)
FIGURAS DEL LISSAJOUS

2. 𝛚 𝟏 = 𝟑
𝛚 𝟐 = 𝟏
x=2.5Cos(3t)
Y=2.5Cos(t)
=2.5Cos(3t)
Y=2.5Cos(t+ π/4)
X=2.5Cos(3t)
Y=2.5Cos(t+ π/2)
=2.5Cos(3t)
Y=2.5Cos(t+ π/4)
X=2.5Cos(3t)
Y=2.5Cos(t+ π)
𝛚 𝟏 = 𝟑
𝛚 𝟐 = 𝟐
x=2.5Cos(3t)
Y=2.5Cos(2t)
x=2.5Cos(3t)
Y=2.5Cos(2t+π/4)
x=2.5Cos(3t)
Y=2.5Cos(2t+π/2)
x=2.5Cos(3t)
Y=2.5Cos(2t+3π/4)
x=2.5Cos(3t)
Y=2.5Cos(2t+π)
𝛚 𝟏 = 𝟒
𝛚 𝟐 = 𝟑 x=2.5Cos(4t)
Y=2.5Cos(3t)
x=2.5Cos(4t)
Y=2.5Cos(3t+ π/4)
x=2.5Cos(4t)
Y=2.5Cos(3t+ π/2)
=2.5Cos(4t)
Y=2.5Cos(3t+3π/4)
=2.5Cos(4t)
Y=2.5Cos(3t+ π)

3. 𝛚 𝟏 = 𝟓
𝛚 𝟐 = 𝟑
x=2.5Cos(5t)
Y=2.5Cos(3t)
x=2.5Cos(5t)
Y=2.5Cos(3t + π/4)
x=2.5Cos(5t)
Y=2.5Cos(3t + π/2)
=2.5Cos(5t)
Y=2.5Cos(3t + 3π/4)
x=2.5Cos(5t)
Y=2.5Cos(3t + π)
𝛚 𝟏 = 𝟓
𝛚 𝟐 = 𝟒
x=2.5Cos(5t)
Y=2.5Cos(4t)
x=2.5Cos(5t)
Y=2.5Cos(4t + π/4)
x=2.5Cos(5t)
Y=2.5Cos(4t + π/2)
=2.5Cos(5t)
Y=2.5Cos(4t + 3π/4)
x=2.5Cos(5t)
Y=2.5Cos(4t + π)
𝛚 𝟏 = 𝟓
𝛚 𝟐 = 𝟔
x=2.5Cos(6t)
Y=2.5Cos(5t + π/4)
x=2.5Cos(6t)
Y=2.5Cos(5t + π/4)
x=2.5Cos(6t)
Y=2.5Cos(5t + π/2)
x=2.5Cos(6t)
Y=2.5Cos(5t + 3π/4)
x=2.5Cos(6t)
Y=2.5Cos(5t + π)