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 in m
B. `y(t)=-3 cos 2pit`, 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

`T=(2pi)/(omega)=4, omega=(pi)/(2)`
y co-ordinate starts from maximum
So `y=A cos (omegat)`
`Y=3cos((pi)/(2)t)`