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A point mass is subjected to two simulta...

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 + (2 pi)/(3))`. Adding a third sinusoidal displacement `x _3 (t) = B sin (omega t + phi)` brings the mas to a complete rest. The values of (B) and (phi) are.

A

`sqrt2A,(3pi)/(4)`

B

`A,(4pi)/(3)`

C

`sqrt3A,(5pi)/(6)`

D

`A,(pi)/(3)`

Text Solution

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The correct Answer is:
B

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