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The $x-t$ graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at $t = 2s$ is:

medium

Oscillations

2023

physics

$\frac{\pi^2}{8}$ m/s $^2$

$-\frac{\pi^2}{8}$ m/s $^2$

$\frac{\pi^2}{16}$ m/s $^2$

$-\frac{\pi^2}{16}$ m/s $^2$

Explanation

To solve this problem, we need to determine the acceleration of the particle at $t = 2s$ from the given $x-t$ graph. $\\$ The equation for simple harmonic motion (SHM) is: $\\ x(t) = A \cos(\omega t + \phi) \\$

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The x−t x-t x−t graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at t=2s t = 2s t=2s is:

Explanation

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The $x-t$ graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at $t = 2s$ is: