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🔵 Banking of Roads Concept: The outer edge of a curved road is raised (banked) relative to the inner edge, creating an angle (\(\theta \)) with the horizontal.Physics: This tilt allows the normal force (N) from the road to have a horizontal component (N sin \(\theta \)) that provides the necessary centripetal force (\(mv^{2}/r\)) for the vehicle to turn safely.Benefit: Reduces reliance on friction, allowing higher safe speeds and preventing skidding, especially in wet conditions where friction is low. 🔵 Death Well (Rotor) Concept: A vehicle (car, bike) moves in a horizontal circle inside a large cylindrical wall. The rider stays inside without falling, even when the wall is vertical.Physics: The wall provides the normal force, pushing the vehicle inward (centripetal force). Friction between the tires and the wall, acting upward, balances the vehicle's downward weight (\(mg\)), preventing it from slipping.Key: The minimum speed required is determined by the point where friction equals weight, allowing the rider to "stick" to the wall. Connection to Circular Motion Both scenarios use forces in circular motion: Centripetal Force: Provided by the horizontal component of the normal force (banking) or the normal force itself (death well).Inertia/Centrifugal Effect: An outward tendency felt by the vehicle, countered by the banked surface or friction.Friction: Assists the banking by providing extra centripetal force at lower speeds and is crucial for preventing slipping in the death well.