## What is Lissajous figure in physics?

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.

## What is Lissajous figures in SHM?

If two S.H.M’s act in perpendicular directions, then their resultant motion is in the form of a straight line or a circle or a parabola etc. depending on the frequency ratio of the two S.H.M. and initial phase difference. These figures are called Lissajous figures.

**What are Lissajous figures give examples?**

For a ratio of 1, the figure is an ellipse, with special cases including circles (A = B, δ = π2 radians) and lines (δ = 0). Another simple Lissajous figure is the parabola ( ba = 2, δ = π4). Other ratios produce more complicated curves, which are closed only if ab is rational.

### What are Lissajous figures used for?

The lissajou figures are used to determine the unknown frequency by comparing it with the known frequency. Verifying audio oscillator with a known-frequency signal.

### What is lissajous method?

The Lissajous pattern indicates the phase difference by the shape of the X-Y plot. A straight line indicates a 0º or 180º phase difference. The angle of the line depends on the difference in amplitude between the two signals, a line at 45º to the horizontal means the amplitudes are equal.

**What is the importance of Lissajous figure in physics?**

The Lissajous figure is of high importance in physics in order to study the sinusoidal waves. The Lissajous figures are mainly used in analogue electronics to analyse the intersection of two or more sinusoidal wave constructing loops which is also known as knots in general.

#### How are Lissajous figures produced in two dimensions?

Lissajous figures are produced in two dimensions when the x and y coordinates are given by two sine waves, which may have any amplitude, frequency and phase. This is a support page to the multimedia chapter Interference and Consonance in the volume Waves and Sound.

#### What is the sine wave of a Lissajous figure?

Lissajous figures can be thought of as a simple physical system with springs. Suppose you have a weight hanging from a spring, and you pull the weight downward and let go. If you graph the vertical position -vs- time, you get a sine wave. (A real spring would also have friction, so the sine wave would get smaller as…

**What is a Lissajous curve?**

Lissajous figures (or Lissajous curves) are produced in two dimensions when the x and y coordinates are given by two sine waves, which may have any amplitude, frequency and phase. This is a support page to the multimedia chapter Interference and Consonance in the volume Waves and Sound, which introduces interactions between sine waves.