Question

The figure shows a snap photograph of a vibrating string string at t = 0. The particle P is observed moving with velocity $20\pi cm/s$ The angle made by string with x-axis at P is $6^o$ the equation of the wave

Answer 1

Since 'P' is moving at $20\pi cm/s$ and is at $6^0$, it is clearly seen Amplitude is $4\times {10}^{-3}m$ & wavelength is also calculated. Hence, equation will be as $\to y=Asin(\overrightarrow{K}\overrightarrow{r}-wt)$.

For this given case;

$y=4\times {10}^{-3}sin100\pi (3t+0.5x+\frac{1}{400})$