A crate of eggs is located in the middle of the flat bed of a pickup truck as th

Question

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 35.0m. If the coefficient of static fricition between crate and truck is 0.600, how fast can the truck be moving without the crate sliding? 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 35.0m. If the coefficient of static fricition between crate and truck is 0.600, how fast can the truck be moving without the crate sliding?

Explanation / Answer

Given that radius of the circle is r = 35.0 m coefficient of static friction is µ _s = 0.600         F = ma        f   = mv^2 / r   µ _s mg = mv^2 /r v^2 = µ _s g r          = 0.600 * 9.8 * 35.0 m            = 205.8     v = 14.3 m/s

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