The radius of cirlcue, 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 :

Options

A. `y(t)=3cos((pit)/(2))`, where y inm
B. `y(t)=-3cos2pit`, where y in m
C. `y(t)=4sin((pit)/(2))`, where y in m
D. `y(t)=3cos((3pit)/(2))`, where y in m

Answer

A

Explanation

Here `T=4s, A=3m`
Time period `T=(2pi)/(omega)implies4=(2pi)/(omega)impliesomega=(pi)/(2)`
When the time is noted from the extreme position,
So, `y=Acos(omegat)impliesy=3cos((pi)/(2)t)`