Question

For a particle executing simple harmonic motion, the displacement-time $(x - t)$ graph is as shown in the figure. The acceleration of the particle at $t = \frac{4}{3} s$ is

• A. $- \frac{\sqrt{3}}{32} \pi^{2} \,cm \,s^{-2}$
• B. $- \frac{32}{\sqrt{3}} \pi^{2} \,cm \,s^{-2}$
• C. $+ \frac{\sqrt{3}}{32} \pi^{2}\, cm \,s^{-2}$
• D. $+ \frac{32}{\sqrt{3}} \pi^{2} \,cm\, s^{-2}$

Answer 1

Answer: (A)

$- \frac{\sqrt{3}}{32} \pi^{2} \,cm \,s^{-2}$

Answer 2

The displacement-time graph shown in the figure is a sine wave,
so the equation of
displacement, $x = 1\, \sin\,\omega t$