To determine the banked angle for a highway curve with a radius of 122m, where a car travels at 26.8m/s without skidding, a force diagram should be drawn. This diagram should include the normal force, the centrifugal force due to circular motion, and the weight of the car. The goal is to find the angle where these forces are balanced, ensuring no friction is needed. The discussion emphasizes understanding the forces involved in circular motion to solve the problem effectively. This approach will help in calculating the required banking angle for safe vehicle navigation on the curve.