# Banked Curves and Static Frictional Components

• Starwing123
In summary, when a car is moving in a circle, the part of the tire in contact with the ground is relatively stationary compared to the ground. The friction between the tire and the ground acts in both the tangential and vertical directions to prevent slipping. However, the tangential component of static friction is zero when the car moves with a constant speed, which explains why we do not consider two components of friction when calculating centripetal acceleration and friction forces.
Starwing123
The part of the tire on the ground of a moving car is relatively stationary compared to the ground, right? The way the wheels work is the friction parallel to the direction of movement right? So when we calculate centripetal acceleration for cars going in a circle and the friction forces, why do we not have two components of friction?

Starwing123 said:
The part of the tire on the ground of a moving car is relatively stationary compared to the ground, right? The way the wheels work is the friction parallel to the direction of movement right? So when we calculate centripetal acceleration for cars going in a circle and the friction forces, why do we not have two components of friction?

The blue sentence is not true. When the car travels along a circle, the friction can act against slipping both in tangential direction, along the circle, and also up or down along the slope, although the tangential component of static friction is zero when the car moves with uniform speed.

ehild

Last edited:
Oh, Thanks! I didn't realize that the tangential friction is 0 b/c the car is moving at a constant speed.

## 1. What is a banked curve?

A banked curve is a curved section of a road or track that is designed to allow vehicles to travel at higher speeds while maintaining control. The surface of the curve is angled or banked, meaning it is higher on the outside edge than the inside edge, which helps to counteract the centrifugal force acting on the vehicle.

## 2. How does banking a curve affect the frictional forces?

Banking a curve can affect the frictional forces in two ways. First, it can increase the normal force acting on the vehicle, which in turn increases the frictional force. Second, it can change the direction of the normal force, making it partially or fully perpendicular to the direction of motion. This allows for a more efficient use of frictional forces to keep the vehicle from sliding off the curve.

## 3. What is the role of static friction in banked curves?

Static friction is the force that keeps an object at rest from sliding or moving. In the case of banked curves, static friction is responsible for keeping the vehicle from sliding off the curve and maintaining its speed and direction of motion.

## 4. How is the angle of banking determined for a curve?

The angle of banking is determined by the speed and radius of the curve, as well as the coefficient of static friction between the vehicle's tires and the road surface. The goal is to find an angle that will provide enough frictional force to keep the vehicle on the curve without causing it to slide off.

## 5. What happens if the angle of banking is too steep or too shallow?

If the angle of banking is too steep, the vehicle may experience too much friction and slow down or even slide off the curve. If the angle is too shallow, the vehicle may not have enough friction to maintain its speed and may slide off the curve. Therefore, it is important to carefully calculate and design the angle of banking for a curve to ensure safe and efficient driving.

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