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A point mass is subjected to two simult...

A point mass is subjected to two simultaneous sinusoidal displacement in `x-`direction, `x_(1)(t) = A sin omegat` and `x_(2)(t) = A sin(omega + (2pi)/(3))`. Adding a third sinusoidal displacement `x_(3)(t) = B sin (omegat + phi)` brings the mass to complete rest. The value 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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