- #1
mybrohshi5
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Homework Statement
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?
The Attempt at a Solution
using the x components i came up with
mgsin([itex]\theta[/itex]) - ffric = m*a
since [itex] \mu = \frac{f_{fric}}{N} [/itex] then ffric = [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