The radius of circle, the period of revolution, initial position and sense of revolution are indicat

Question

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\

Professor PC Thomas Classes · Answer

(a): Here $T=4 \mathrm{~s}, A=3 \mathrm{~m}$ Time period $T=\frac{2 \pi}{\omega} \Rightarrow 4=\frac{2 \pi}{\omega} \Rightarrow \omega=\frac{\pi}{2}$\ As the time is noted from the extreme position,\ so, $y(t)=A \cos (\omega t) \Rightarrow y(t)=3 \cos \left(\frac{\pi}{2}(t)ight)$\