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Figure shows the circular motion of a particle. The radius of the circle, the period, sense of revolution and the initial position are indicated on the figure. The simple harmonic motion of the $x-$ projection of the radius vector of the rotating particle $P$ is
  • A$x\left( t \right) = B\,\sin \,\left( {\frac{{2\pi t}}{{30}} + \frac{\pi }{4}} \right)$
  • B$x\left( t \right) = B\,\cos \,\left( {\frac{{\pi t}}{{15}}} \right)$
  • C$x\left( t \right) = B\,\sin \,\left( {\frac{{\pi t}}{{15}} + \frac{\pi }{2}} \right)$
  • D$x\left( t \right) = B\,\cos \,\left( {\frac{{\pi t}}{{15}} + \frac{\pi }{2}} \right)$
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