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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

`sqrt(2)A, (3pi)/(4)`

B

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

C

`sqrt(3)A, (5pi)/(6)`

D

`A, (pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B

So `B = A, phi = 240^(@) = (4pi)/(3)`
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