Physics

Problem

A heavy truck drives on a road banked at

\theta = 53^{\circ}

with a radius of curvature

r = 45\,\text{m}

. The coefficient of static friction between the tires and the road is

\mu = 0.5

. Calculate the minimum velocity the truck must maintain to prevent sliding down the incline. (Take

\tan 53^{\circ} = \frac{4}{3}

g = 10\,\text{m/s}^{2}