Maximum Angle of Safe Walking on Icy Surfaces

[Intrusionv2]

Homework Statement

Jeremy is trying to walk up an icy sidewalk. If he has leather shoes (coefficient of leather on ice = 0.3) then what is the steepest angle up which he can safely walk? What would have to be his coefficient of friction if the hill were 65 degrees?

Homework Equations

Ff = μ(Fn)
F = ma (?)
Fw = mg (?)

The Attempt at a Solution

No idea.

 

[dontdisturbmycircles]

If he is walking up the steepest angle, he will just be on the verge of slipping, draw a free body diagram.

The second part is more of the same feast.

 

[Intrusionv2]

Thanks! I got 16.7 degrees for steepest angle and 2.14 coefficient if 65 deg.