InterviewSolution
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InterviewSolution
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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. `sqrt (2 A),(3 pi)/(4)`B. `A, (4 pi)/(3)`C. `sqrt (3 A),(5 pi)/(3)`D. `A, (pi)/(3)` |
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Answer» Correct Answer - B Two sinusoidal displacements have amplitude (A) each, with a phase difference of `2 (pi)/(3)`. It is given that sinusoidal displacement `x_3(t)` brings the mass to a complete rest. This is possible when the amplitude of third is (A) and is having a phase difference of `4 (pi)/(3)` with respevt to `x_1(t)` as shown in the figure. |
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