A person stands in contaqct against the inner wall of a riotor of radius r The coefficient of friction between - Physics - Laws Of Motion

Question

A person stands in contaqct against the inner wall of a riotor
of radius r The coefficient of friction between the wall and the
clothing is u and the rotor is rotating about vertical axis What is
the minimum speed of the rotor so that the person does not slip
downward?

Vara · Accepted Answer

Normal force:

The normal force is equal to the centripetal force acting on the
person

N=mω2r

Frictional force:

f=μN =μmω2r

Weight of the person:

W=mg

Condition for prevention of slipping:

f=Wμmω2r=mgμω2r=gω2=gμrω=gμr

Required linear speed:

v=rω =rgμr =grμ

Answer:

Angular speed: ω=gμr (or) Linear speed: v=grμ

A person stands in contaqct against the inner wall of a riotor of radius r The coefficient of friction between the wall and the clothing is u and the rotor is rotating about vertical axis . What is the minimum speed of the rotor so that the person does not slip downward?