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asdofindia said:See, if we draw a free body diagram. We'd draw an arrow from the man to the centre, calling it centripetal force. And another opposite to it calling it centrifugal force, right?
I thought they'd cancel, but I don't think I've clearly finished that thought process, I made a quick reply...
And of course they wouldn't have any component tangential to the surface.
But a body already moving with a velocity tangential do not need a force to keep it moving along the tangent.
But that's along the tangent...
Oh... I think I'm confused. Let me think for a while...
To elaborate a bit on DH's answer to your confusions: Your free body diagram would have neither centripetal nor centrifugal forces drawn on it.
Centripetal force is a net force pointing in the radial direction towards the centre of the rotation, and net forces never appear on a free body diagram! In the intro physics example of a satellite traveling around the Earth in a circular orbit, the only force acting on the satellite is gravity, so gravity does provide the net centripetal force in this case. (but that's a simplified example).
Now, the above all takes place from the point of view of someone in an inertia reference frame watching the rotating object. In an inertial frame there is no such thing as a centrifugal force. If you go to the point of view of the rotating object, however, then you "feel" a centrifugal force on you, but you are now in a non-inertial reference frame, and so you have to introduce "fictitious forces", of which the centrifugal force is one, in order for Newton's second law to continue to work in the non-inertial reference frame. It turns out that in the non-inertial reference frame the centrifugal force is the opposite of the centripetal force, but neither exists in the same frame at the same time, so they don't "cancel out".