So I have the following statement.
"A merry-go-round is spinning with a fixed angular speed. As a person is walking towards the edge, the force of static friction must increase in order for the person not to slide off."
I have no clue why is it true. I tried to figure out the problem with the following equations: rω = v (mv^2)/r = Tension but I can't seem to get past the tension. I guess what it causes the person to slide off would be the tangential acceleration (and therefore a friction force is needed), but I can't find a way of getting to this last variable with the previous mentioned equations...
I need help at figuring out specifically what (if I'm not right about the tangential acceleration) causes the person to slide off and how is it affected by an increase in the radius (as the person walk towards the edge.)