Figure shows the circular motion of a particle. The radius of the circle, the period, same of revolution and the initial position are indicated on the figure. The simple harmonic motion of the x-projection of the radius vector the rotating particle P is

Options

A. `x(t)= B cos((2pit)/(30))`
B. `x(t)= B sin((pit)/(15))`
C. `x(t)= B sin((pit)/(15) + (pi)/(2))`
D. `x(t)= B sin((pit)/(15) + (pi)/(2))`

Answer

B

Explanation

`omega=(2pi)/(T)=(2pi)/(30)=(pi)/(15)rad//s`.
x projection of P=`Bsin(( pi)/(15)t)`.