Rankers Physics

Equation of SHM: Practice Problem & Solution

The phase difference between displacement and acceleration of a particle in a simple harmonic motion is: (2020)
$ \frac{3\pi}{2} \text{ rad} $
$ \frac{\pi}{2} \text{ rad} $
Zero
$ \pi \text{ rad} $

Solution Explained:

To solve this problem, we apply the core principles of Equation of SHM. Understanding the underlying formula is key to arriving at the correct answer below:

Displacement is given by $ y = A \sin(\omega t) $ and acceleration is $ a = -A\omega^2 \sin(\omega t) = A\omega^2 \sin(\omega t + \pi) $. Thus, the phase difference is $ \pi \text{ rad} $.

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