Finding the Optimal Radius for Keeping a Body on a Spinning Carousel

[dannee]

Homework Statement

Carousel is spinning when w = 1.4rad / s.

on the carousel there is a given body.

Static friction between the carousel with the body is 0.2

What is the radius that you can put the body on the carousel that the body won't slip?

Homework Equations

The Attempt at a Solution

i've tried to solve it by calculating maximum friction without that body moves while accelerating is 0.

forces on the body is (f=ma=0) 2mwv-0.2*mg, which leads to w=1/v

v=w*r means that r=v^2=1/(1.4)^2

but this answer is wrong. can someone help and tell me what I'm missing?

 

[DiracRules]

Try thinking: what is the effect of the friction on the body? How does the body spins (that is, which FORCE is responsible for its spinning)?

 

[dannee]

the body has circular acceleration, but again, i don't see how it's related to the movement on carousel through the sideline of the carousel.

 

[Doc Al]

the body has circular acceleration, but again, i don't see how it's related to the movement on carousel through the sideline of the carousel.

The body isn't moving with respect to the carousel. There's no coriolis force here.

What's the only force acting on the body to produce its centripetal acceleration?