Answer:
3. F = m g
Explanation:
The centripetal force the person is exerting on the wall is;
[tex]f = \frac{mv^{2}}{r}[/tex]
The maximum force due to static friction is f = µ R ,
where R is the normal force exerted by the wall on the person. For the person to be held up against the wall, the maximal friction force must be larger than the force of gravity mg.
The actual force is now equal to or less than the maximum µR
f ≤ fmax = µR
When the angular velocity increase beyond the minimum angular velocity ωmin that is required to hold the person against the wall, the frictional force does to increase any more. Therefore, f still equals mg regardless of the maximum frictional force.
