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3-2.Motion in Plane
medium
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 $\mathrm{P}$ is
A$y(t)=-3 \cos 2 \pi t,$ where $y$ in $m$
B$y(t)=4 \sin \left(\frac{\pi t}{2}\right),$ where $y$ in $m$
C$y(t)=3 \cos \left(\frac{3 \pi t}{2}\right),$ where $y$ in $m$
D$y(t)=3 \cos \left(\frac{\pi t}{2}\right),$ where $y$ in $m$
(NEET-2019)
Solution
$\omega=\frac{2 \pi}{4}=\frac{\pi}{2}$For $y-$projection,
$y=A \cos \omega t$
$\Rightarrow y=3 \cos \left(\frac{\pi t}{2}\right)$
Standard 11
Physics
