A man pushes on a barrel as shown. Knowing that the barrel weighs $140lb,a=24in.,$ and $b=$

$36$ in$.,$ determine the maximum coefficient of static friction $({}_s)$ required between the barrel

and the ground so that the barrel slides before it tips. Enter your answer below rounded to

two decimal places.

Your written solution must include an FBD of the barrel and all calculations to determine the

minimum coefficient of static friction.