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Show that for a particle executing SHM, velocity and dispacement have a phase difference of `pi//2`.

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To show that for a particle executing Simple Harmonic Motion (SHM), the velocity and displacement have a phase difference of \( \frac{\pi}{2} \), we can follow these steps: ### Step 1: Write the displacement equation for SHM The displacement \( x \) of a particle in SHM can be expressed as: \[ x(t) = a \sin(\omega t + \phi) \] where: ...
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