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Q.

The 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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a

$y (t) = 3 \cos (\frac{πt}{2}), where y in m$

b

$y (t) = - 3 \cos 2 π t, where y in m$

c

$y (t) = 4 \sin (\frac{πt}{2}), where y in m$

d

$y (t) = 3 \cos (\frac{3 πt}{2}), where y in m$

answer is A.

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Detailed Solution

$ω = \frac{2 π}{4} = \frac{π}{2}$

For y-projection, y = Acos( $ωt$ )

$\Rightarrow y = 3 \cos (\frac{πt}{2})$

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The 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