Physics · PYQ NEET UG 2019(1)
हिन्दीThe radius of circle, the period of revolution, initial position and sense of revolution are indicated in the figure. y-projection of the radius vector of rotating particle P is:
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Correct answer · Option B
\( y(t) = 3\cos(\frac{\pi t}{2}) \), where y in m
Explanation
Radius \( R = 3\text{ m} \), period \( T = 4\text{ s} \), so angular velocity \( \omega = \frac{2\pi}{T} = \frac{\pi}{2}\text{ rad/s} \). At \( t=0 \), particle starts at positive y-axis, so \( y(t) = R\cos(\omega t) = 3\cos(\frac{\pi t}{2}) \).