The displacement of a particle is represented by the equation $y = sin^3\,\,\,\omega t$ . The motion is
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Given, $y=\sin ^{3} \omega t=\frac{1}{4}[3 \sin \omega t-\sin 3 \omega t]$
As this motion is not represented by single harmonic function, hence it is not $SHM.$ As this motion involves sine and cosine functions, hence it is periodic motion.
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