Question

Explain the Lissajous figures when two mu-
tually perpendicular simple harmonic oscilla-
tions of frequency ratio 1 : 1 and phase
difference varying between 0 and it, super-
pose.
​

Answer 1

Lissajous figure, also called Bowditch Curve, pattern produced by the intersection of two sinusoidal curves the axes of which are at right angles to each other. Lissajous used a narrow stream of sand pouring from the base of a compound pendulum to produce the curves.

**Lissajous figure is used in the application of micro vibration measurment.They are obtained by synthesizing two interferometric signals that their vibration are orthogonal and their intensities equal. 4.8

**An oscillation follows simple harmonic motion if it fulfils the following two rules:

•Acceleration is always in the opposite direction to the displacement from the •equilibrium position.

•Acceleration is proportional to the displacement from the equilibrium position.