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The radius of circle, the period of revolution, initial position and sense of revolutuion are indicated in the fig. y- projection of the radius vector of rotating particle P is:

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

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

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

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

answer is B.

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Detailed Solution

At t = 0, y displacement is maximum, so equation will be cosine function
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$\begin{array}{l} T = 4 s \\ ω = \frac{2 π}{T} = \frac{2 π}{4} = \frac{π}{2} rad / s \\ y = acos ωt \\ y = 3 \cos \frac{π}{2} t \end{array}$

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