In: Physics
The coefficient of static friction between teflon and scrambled
eggs is about 0.04.
What is the smallest angle from the horizontal that will cause the
eggs to slide across the bottom of the Teflon-coated skiller?
Let m be the mass of the eggs.
The coefficient of static friction between teflon and scrambled eggs is
s = 0.04
The free body diagram of the eggs slide across the Teflon-coated skiller is shown below:

From the figure, the normal force acting on the eggs is
N = mg cos 
Here, acceleartion due to gravity is g.
The static friction between the Teflon and scrambled eggs is
f =
s N
=
s mg
cos
For the eggs to slide across the skiller,
mg sin
>
s
mg cos 
tan
>
s
>
tan-1 (
s)
Substitute 0.04 for
s in the above
equation,
>
tan-1 (
s)
> tan-1 (0.04)
> 2.29060
Rounding off to two significant figures, the smallest angle from the horizontal that will cause the eggs to slide across the bottom of the Teflon-coated skiller is 2.30.