Given figure shows the circular motion of a particle. The radius of...

Given figure shows the circular motion of a particle. The radius of circle, the period sense of revolution and the initial position are indicated
\( \mathrm{P} \) on the figure, the simple harmonic motion of the

W \( x \)-projection of the radius vector of the rotation particle \( \mathrm{p} \) is :
(1) \( x(t)=B \sin \left(\frac{\pi}{15} t\right) \)
(2) \( x(t)=B \cos \left(\frac{\pi}{15} t\right) \)
(3) \( x(t)=B \sin \left(\frac{\pi t}{15}+\frac{\pi}{2}\right) \)
(4) \( x(t)=B \cos \left(\frac{\pi t}{15}+\frac{\pi}{2}\right) \)