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two particle executing SHM with same fr...

two particle executing SHM with same frequency and amplitudes `A and 2A` on same straight line with same mean position cross each other in opposite direction at a distance `A//3` from mean position. Find the phase difference in the two SHM s.

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Show the two corresponding particals circular motion for the two mentioned particals in SHM. Let particals `P` be going up and partical `Q` be going down. From the figure show the repesctive phase difference of partical `p` and `q` are
`phi_(1) = sin ^(-1) ((1)/(3))` [phase angle of P]
and `phi_(2) = pi - sin ^(-1) ((1)/(6))` [phase angle of Q]
Thus phase difference in the two SHMs is
`Delta phi = phi_(2) - phi_(1) = pi - sin ^(-1) ((1)/(6)) - sin ^(-1) ((1)/(3))`
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