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A particle starts from a point $P$ at a distance of $A/2$ from the mean position $O$ and travels towards left as shown in the figure. If the time period of $SHM$ , executed about $O$ is $T$ and amplitude $A$ then the equation of motion of particle is 
  • A$x = A\,\sin \left( {\frac{{2\pi }}{T}t + \frac{\pi }{6}} \right)$
  • B$x = A\,\sin \left( {\frac{{2\pi }}{T}t + \frac{{5\pi }}{6}} \right)$
  • C$x = A\,\cos \left( {\frac{{2\pi }}{T}t + \frac{\pi }{6}} \right)$
  • D$x = A\,\cos \left( {\frac{{2\pi }}{T}t + \frac{\pi }{4}} \right)$
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