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Figure depicts a circular motion. The radius of the circle, period of revolution, initial position and the sense of revolution are indicated on the figure.

The simple harmonic motion of the \( X \)-projection of the radius vector of the rotating particle \( P \) is
(a) \( A \cos \left(\frac{2 \pi}{4} t+\frac{\pi}{4}\right) \)
(b) \( A \cos \left(\frac{\pi}{4} t+\frac{\pi}{4}\right) \)
(c) \( A \cos \left(\frac{\pi}{3} t+\frac{\pi}{2}\right) \)
(d) None of these
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