On a particle four SHMs are superimposed whose independent equations are given as \[ \begin{arra...

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On a particle four SHMs are superimposed whose independent equations are given as
\[
\begin{array}{l}
x_{1}=8 \sin \omega t \\
x_{2}=6 \sin (\omega t+\pi / 2) \\
x_{3}=4 \sin (\omega t+\pi) \\
x_{4}=2 \sin (\omega t+3 \pi / 2)
\end{array}
\]
Find the resulting SHM amplitude of the particle and its phase difference with the first SHM given above.
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