Man on Platform: Min Value of μs for Radial Motion to be Straight

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Homework Statement


A platform rotates in counterclockwise with angular velocity w.
A man walks frm the center of the platform to the border with constant radial velocity v' wrt the platform.
##\mu_s## is the static friction coefficient.

Calculate the minimum value for ##\mu_s## such that the radial motion is straight.
What about a', value of the man acceleration wrt the platform?

Homework Equations


##a_0=a'+a_{cc}+a_c##

where ##a_0## absolute acceleration, a'=man acceleration wrt the patform, ##a_{cc}= 2 w x v'##, ##a_c=-w^2 r u_r##

##u_r##= unit vector with radial direction
##u_t##= unit vector with tangent direction

The Attempt at a Solution


absolute velocity : ##v_0=v' u_r+wr w_t##
absolute acceleration: ##dv_0/dt=2v' w u_t-w^2r u_r##

I want that the man goes straight on respect with an observer on the paltform, so I "cancel" the Coriolis acceleration:
##\mu_s =2v'w/g##

##a'=a_0-a_{cc}-a_c+a_{friction}=2v'wu_t##

But I have obtained the Coriolis acceleration! ... Something went wrong. Please, help me!
 
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Doesn't the man experience a "fictitious" force which is the Coriolis force?
What happens if you look at the problem from the actual inertial frame?
Then the angular momentum is I w (where w is the angular velocity).
What is the torque required to produce the change in angular momentum due to
the man walking on the platform?
 
bznm said:
##a_0=a'+a_{cc}+a_c##
Agreed, if you mean that vectorially. And you know a', yes? So what is the net acceleration?
bznm said:
##\mu_s =2v'w/g##
No, that assumes the only acceleration of the man is Coriolis. There is also centripetal/centrifugal.