Can we model fictitious forces using vectors?

[flyingpig]

Homework Statement

Let's say that you are on a Ferris Wheel or you are spinning a Yo-yo horizontally in a circle. There is a fictitous force known as centrifuge force that is pushing the car or yo-yo outwards.
However, the centripetal force that is keeping it in tact, is a vector pointing towards the center. We know that F $$\alpha$$ a, so even though centrifuge is a fictitious force, how come the "vector" of it is opposite to that of centripetal acceleration?

The Attempt at a Solution

I have been pondering this question for 3 days...

For the yoyo case, would to be just the tension?

T = $$\stackrel{mv²}{r}$$

Also, I read a proof on how centripetal acceleration is derived, but why do we always neglect the negative sign in the formula a = $$\stackrel{-|v²|}{r}$$

 

[D H]

Ignoring the rotation of the Earth itself you are an inertial observer when you look at a spinning yo-yo. There is no need to invoke a centrifugal force in this case. There is no centrifugal force in this case.

Centrifugal force are needed to force-fit Newton's laws to the domain of rotating reference frames (a domain in which Newton's laws do not truly apply).

 

[flyingpig]

Ignoring the rotation of the Earth itself you are an inertial observer when you look at a spinning yo-yo. There is no need to invoke a centrifugal force in this case. There is no centrifugal force in this case.

Centrifugal force are needed to force-fit Newton's laws to the domain of rotating reference frames (a domain in which Newton's laws do not truly apply).

Ferris Wheel case?

 

[flyingpig]

So I still don't get it...