A particle starts from a point \( P \) at a distance of \( A / 2 \) from the mean position \( O ...

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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 the motion of particle is
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(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) \( x=A \cos \left(\frac{2 \pi}{T} t+\frac{\pi}{3}\right) \)
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