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 34.5 m. If the coefficient of static friction between crate and truck is 0.570, how fast can the truck be moving without the crate sliding?

Answer 1

$$\Sigma F = m a$$ $$f = m v ^ {2} / r$$ $$\mu m g = m v ^ {2} / r$$ $$v ^ {2} = \mu g r = 0.57 (9.8)(34.5)$$ $$v = 13,9 \text{ m/s}$$