A boy is sitting on a seat of merry-go-round moving with a constant angular velocity. A `t=0`, the boy is at position `A` as shown in the figure

Which of the following graphs are correct? All graphs are sinusoidal.

Options

A. `F_(y)` is the `y`-component of the force keeping the boy moving in a circle.

B. `x` is the x-component of the boy's position.
C. `theta` is the angle that the positoin vector of the boy makes with the positive x-axis.
D. `V_x` is the x-component of the boy's velocity.

Answer

A, C

Explanation

`a. f_y=-omega^2Rsintheta=-omega^2Rsinomegat`

b. `x=Rcostheta=Rcosomegat`
c. `theta=omegat`
d. `v_x=-vsintheta=-vsinomegat`