Understanding the Effect of Perpendicular Components in Simple Harmonic Motion

[logearav]

Homework Statement

Kindly go through the attachment.
(i) vcosθ in a direction parallel to OY.

(ii) vsinθ in the direction perpendicular to OY.

The component vsinθ has no effect along YOY' since it is perpendicular to OY
My doubt is "Why the perpendicularity of vsinθ to OY makes vsinθ to have no effect along YOY'?"

Homework Equations

The Attempt at a Solution

 

[Rayquesto]

id like to think this is circular motion and not simple harmonic motion.

"Why the perpendicularity of vsinθ to OY makes vsinθ to have no effect along YOY'?"

It does!

 

[Uniquebum]

You can represent SHM with angular velocity. Anyway, i don't see Y' in your picture.

 

[logearav]

Sorry, it is YO