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A point mass is subjected to two simultaneously sinusoidal displacements in \( \mathrm{x} \)-direction \( \mathrm{x}_{1}(\mathrm{t})=\mathrm{A} \sin \omega \mathrm{t} \)
\( \mathrm{P} \) and \( x_{2}(t)=A \sin \left(\omega t+\frac{2 \pi}{3}\right) \). Adding a third sinusoidal displacement \( x_{3}(t)=B \sin (\omega t+\phi) \) brings the mass to a complete rest. The values of \( \mathrm{B} \) and \( \phi \) are
(A) \( \sqrt{2} \mathrm{~A}, \frac{3 \pi}{4} \)
(B) \( \mathrm{A}, \frac{4 \pi}{3} \)
(C) \( \sqrt{3} \mathrm{~A}, \frac{5 \pi}{6} \)
(D) \( \mathrm{A}, \frac{\pi}{3} \)
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