Is the centripetal force a projection of tension?

[Smouk]

Well, this might be the stupidest question ever, but whatever. I was just thinking about a problem where a pendulum is attached to something that spins around itself (image below) and thought that maybe Centripetal Force might be a projection of tension on a vector that is perpendicular to ω.

I know, this might be one of the stupidest things to say, but I don't really know that much so please be nice with me, thanks to everyone.

 

[Herman Trivilino]

Take the vector sum of the tension and the gravitational force. That gives you the net force. Since the net force has a direction that's towards the center, we call it the centripetal force.

 

[Herman Trivilino]

Centripetal Force might be a projection of tension on a vector that is perpendicular to ω.

Yes, it's the horizontal component of the tension. (The vertical component of the tension is equal but opposite to the gravitational force. Hence the net force is horizontal and towards the center.)