The displacement of a particle in simple harmonic motion (SHM) is given by y = \(\sqrt{3\pi}\) sin \(\rm \left( {\frac{{100}}{\pi }t + \frac{\pi }{4}} \right) \). What will be the displacement of the particle from the mean position when its kinetic energy is eight times that of its potential energy?
1
\(\sqrt \frac{\pi}{3} \)
2
\(\sqrt \frac{3\pi}{2}\)
3
√π
4
\(\sqrt{3\pi}\)