Figure shows the circular motion of a particle. The radius of the c...

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
\( \mathrm{P} \) motion of the \( x \)-projection of the radius vector of the

W rotating particle \( p \) is
[NCERT Exemplar]
(a) \( x(t)=B \sin \left(\frac{2 \pi t}{30}\right) \)
(b) \( x(t)=B \cos \left(\frac{\pi t}{15}\right) \)
(c) \( x(t)=B \sin \left(\frac{\pi t}{15}+\frac{\pi}{2}\right) \)
(d) \( x(t)=B \cos \left(\frac{\pi t}{15}+\frac{\pi}{2}\right) \)