Definition:Simple Harmonic Motion/In Phase

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Definition

Let $S_1$ and $S_2$ be physical systems in a state of simple harmonic motion described respectively by the equations:

\(\ds x_1\) \(=\) \(\ds a_1 \map \cos {\omega t + \alpha_1}\)
\(\ds x_2\) \(=\) \(\ds a_2 \map \cos {\omega t + \alpha_2}\)

$S_1$ and $S_2$ are in phase if and only if $\alpha_1 = \alpha_2$.


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