Harmonic oscillator

Classical Mechanics Level 2

When we light a parallel ray on the object( $P$ ) which is in uniform circular motion with angular velocity $\omega$ , the motion of its shadow( $Q$ ) on the right side screen is a harmonic oscillation. What are the displacement(vector) and period, respectively, of the harmonic oscillation of the shadow( $Q$ ) at time $t$ as shown above?

A\cos \omega t

\frac{2\pi}{\omega}

A\cos \omega t

2\pi\omega

A\sin \omega t

2\pi\omega

A\sin \omega t

\frac{2\pi}{\omega}