Two curves on a highway have the same radii. However, one is unbanked
and the other is banked at an angle \( \theta \). A car can safely travel along
the unbanked curve at a maximum speed \( V_0 \), under conditions when the
coefficient of static friction between the tires and the road is 0.80. The
banked curve is frictionless, and the car can negotiate it at the same
maximum speed \( V_0 \).
Find the angle \( \theta \).