Maximum Angle of Safe Walking on Icy Surfaces

AI Thread Summary
The discussion centers on calculating the maximum angle at which Jeremy can safely walk on an icy sidewalk with leather shoes, which have a coefficient of friction of 0.3. The steepest angle determined is 16.7 degrees, indicating the limit before slipping occurs. Additionally, if the incline were 65 degrees, the required coefficient of friction would need to be 2.14 to maintain stability. The calculations involve understanding the forces at play, including friction and gravity. Overall, the thread emphasizes the importance of friction coefficients in determining safe walking angles on icy surfaces.
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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.
 
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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.
 
Thanks! I got 16.7 degrees for steepest angle and 2.14 coefficient if 65 deg.
 

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