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The displacement of a particle along the x-axis is given by x = A sin² ωt. The motion of the particle corresponds to:

1. simple harmonic motion of frequency ω/π
2. simple harmonic motion of frequency 3ω/2π
3. non simple harmonic motion
4. simple harmonic motion of frequency ω/2π

Correct answer: non simple harmonic motion

Solution

The given displacement x = A sin² ωt is not a simple harmonic motion because it does not follow the standard form of SHM, which is x = A sin(ωt + φ). Instead, it represents a periodic motion but not SHM.

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