The following figure depicts two circular motions. The radius of the circle, the period of revolutin the initial position and the sense of revolution are indicated on the figure. Obtain the simple harmoic motion of the x-projection of the radius vector of the rotating particle P in each case.

Options

A. `x (t) = a cos (( 2 pi t )/( 4) + (pi)/(4))`
B. `x (t) = a cos (( pi t)/( 4) + (pi)/(4))`
C. `x (t) = a sin (( 2 pi t)/( 4) + ( pi)/(4))`
D. `x (t) = a cos ( ( pi t)/( 3) + (pi)/(2))`

Answer

A