# Tire rolling down slope - angle - friction

by mybrohshi5
Tags: angle, friction, rolling, slope, tire
 P: 365 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($\theta$) - ffric = m*a since $\mu = \frac{f_{fric}}{N}$ then ffric = $\mu$*(mgcos$\theta$) so i put those together and came up with mgsin$\theta$ - 0.88(mgcos$\theta$) = ma mass cancels out so gsin$\theta$ - 0.88(gcos$\theta$) = a This is where i am stuck. Any help would be great :) thank you