(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Suppose the hoop were a tire. A typical coefficient of static friction between tire rubber and dry pavement is 0.88. If the angle of the slope were variable,

what would be the steepest slope down which the hoop could roll without slipping?

3. The attempt at a solution

using the x components i came up with

mgsin([itex]\theta[/itex]) - f_{fric}= m*a

since [itex] \mu = \frac{f_{fric}}{N} [/itex] then f_{fric}= [itex]\mu[/itex]*(mgcos[itex]\theta[/itex])

so i put those together and came up with

mgsin[itex]\theta[/itex] - 0.88(mgcos[itex]\theta[/itex]) = ma

mass cancels out so

gsin[itex]\theta[/itex] - 0.88(gcos[itex]\theta[/itex]) = a

This is where i am stuck.

Any help would be great :) thank you

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# Tire rolling down slope - angle - friction

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