Maximizing Displacements in SHM: Is ωt = -Φ/2 the Correct Value?

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The discussion centers on the maximum displacement between two particles in simple harmonic motion (SHM) and the correctness of the equation ωt = -Φ/2. Participants analyze the displacements y1 and y2, concluding that maximum displacement occurs when cos(2ωt + Φ) = 1, leading to a maximum value of 3A/2. There is debate over the calculation of the phase angle Φ, with some participants suggesting errors in its derivation. Ultimately, the correct maximum displacement is confirmed to be A(√7/4), with participants discussing methods to verify their results without calculators.
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Thank you very much @PeroK and @ehild .
 

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