Q. A point mass is subjected to two simultaneous sinusoidal displacement in $x$-direction, $x_{1}(t)=A \sin \omega t$ and $x_{2}(t)=A \sin \left(\omega t+\frac{\pi}{2}\right) .$ Adding a third sinusoidal displacement $x_{3}(t)=B \sin (\omega t+\phi)$ brings the mass to a complete rest. The value of $\phi$ is $n \frac{\pi}{4} .$ Then $n$ is.
Oscillations
Solution:
Correct answer is '5'
