Question

Select One Option Correct from the following: A point mass is subjected to two simultaneous sinusoidal displacements in x direction,$x_1(t) = A \sin(\omega t)$ and $x_2(t) = A \sin(\omega t+\frac{2\pi}{3} )$ . Adding a third sinusoidal displacement $x_3(t) = B \sin(\omega t + \phi)$ brings the mass to complete rest. The value of B and $\phi$ are
(A)$\sqrt{2} A,3 \pi/4$
(B)A, $4\pi/3$
(C)$\sqrt{3} A, 5\pi /6$
(D)A, $\pi/3$

Answer 1

a option is correct.
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Answer 2

Select One Option Correct from the following: A point mass is subjected to two simultaneous sinusoidal displacements in x direction,$x_1(t) = A \sin(\omega t)$ and $x_2(t) = A \sin(\omega t+\frac{2\pi}{3} )$ . Adding a third sinusoidal displacement $x_3(t) = B \sin(\omega t + \phi)$ brings the mass to complete rest. The value of B and $\phi$ are

✴️ (A)$\sqrt{2} A,3 \pi/4$

(B)A, $4\pi/3$

(C)$\sqrt{3} A, 5\pi /6$

(D)A, $\pi/3$