F(along radius) = ma
μmg=mv²/r
μg=v²/r
μgr=v²
v²=(0.590)(9.80)(36.5)
v ~= 14.5m/s
A crate of eggs is located in the middle of the flat bed of a pickup truck as the truck negotiates an unbanked curve in the road. The curve may be regarded as an arc of a circle of radius 36.5 m. If the coefficient of static friction between crate and truck is 0.590, how fast can the truck be moving without the crate sliding?
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