Question

two collinear harmonic oscillations x1=8sin (100πt)and y1=12sin (96πt) are superposed. calculate the (i) maximum and minimum amplitudes, and (ii) the frequency of amplitude modulation.

Answer 1

Maximum amplitudes:

$$A=A1+A2=8+12=20$$

Minimum amplitudes:

$$A=0$$

The frequency of amplitude modulation:

$$\nu=(\omega1-\omega2)/2\pi=(100\pi-96\pi)/2\pi=2$$