Rankers Physics

Equation of SHM: Practice Problem & Solution

The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is: (2007)
$\pi$
$0.707\pi$
$\text{Zero}$
$0.5\pi$

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:

In SHM, velocity leads displacement by a phase of $\pi/2$, and acceleration leads velocity by a phase of $\pi/2$ (or $0.5\pi$). Thus, the phase difference between velocity and acceleration is $0.5\pi$.

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Similar Practice Questions

Explore conceptually related problems to test your knowledge.

1. The equations of two waves given as $x = a\cos(\omega t + \delta)$ and $y = a\cos(\omega t + \alpha)$, Where $\delta = \alpha + \pi/2$, then resultant wave represent: (2000)
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