Coefficient of friction on rock of 0.70

AI Thread Summary
To determine the maximum steepness of a rock slope one can stand on without slipping, the coefficient of friction (0.70) is used in the equation relating friction force and the components of weight. The relevant equation simplifies to μ * cos(θ) = sin(θ), leading to the conclusion that tan(θ) equals the coefficient of friction. By solving for θ, one can find the maximum angle of the slope. The discussion emphasizes understanding the relationship between friction, weight, and slope angle. The final solution involves using a calculator to find the angle based on the derived equation.
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physics help!

:confused: Ok, I have understood every problem we have done so far except this one,

You are wearing shoes that have a coefficient of friction on rock of 0.70. On how steep a rock slope could you stand without slipping?

So far i have gotten:
Fs=Fparallel=
mu*W*costheta = W*sinTheta
w=mg

but if u cancel weights I got:
mu*costheta = sintheta

Im probably completely wrong, but that's what i got.
Thanks in advance.
 
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well i guess my problem is solving the trig cause i simplified to what he got on that similar problem
 
Looks good to me. The friction force must equal the parallel component of the weight. Good!

Now keep going: \mu cos\theta = sin\theta ==> tan\theta = \mu. Now solve for \theta. (Use your calculator.)
 
ohhh alright i got it, thank you very much
 

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