Why static friction not kinetic in this problem?

In summary, the problem involves a sports car going around a flat, unbanked curve with a given radius. The driver wants to know the maximum speed they can take the curve without sliding, and this is determined by the coefficient of static friction between the car's tires and the road. This choice of friction over kinetic friction is because we want to avoid the car sliding out of the curved track, and the direction of friction is based on whether there is relative motion between the surfaces in contact.
  • #1
Tahmeed
81
4

Homework Statement



The sports car ) is rounding a flat, unbanked curve with radius R . If the coefficient of static friction between tires and road is Us, what is the maximum speedat which the driver can take the curve without sliding?

why in this problem i am given Static fiction coefficient instead of kinetic?
 
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  • #2
Tahmeed said:

Homework Statement



The sports car ) is rounding a flat, unbanked curve with radius R . If the coefficient of static friction between tires and road is Us, what is the maximum speedat which the driver can take the curve without sliding?

why in this problem i am given Static fiction coefficient instead of kinetic?
Because we do not want the car sliding out of the curved track. The piece of tyres in contact with the asphalt should not move relative to it.
 
  • #3
can you clear?? i didn't get it.
 
  • #4
Ask yourself...

Which direction is the friction acting?
Is the car moving in that direction?
 
  • #5
Tahmeed said:
why in this problem i am given Static fiction coefficient instead of kinetic?
Friction relates to surfaces in contact. The choice of static or kinetic friction is determined by whether there is relative motion between the two surfaces. The motion of the car is not important; what matters is whether the part of the tyre in contact with the road is moving relative to the road - i.e. skidding.
See section 3.2 of https://www.physicsforums.com/insights/frequently-made-errors-mechanics-friction/
CWatters said:
Which direction is the friction acting?
Is the car moving in that direction?
That's not really the key. An accelerating car on the flat can experience static friction in the direction of motion without skidding.
 
Last edited:
  • #6
haruspex said:
That's not really the key. An accelerating car on the flat can experience static friction in the direction of motion without skidding.

Insert embarrassed face here :-)
 

1. Why is static friction often greater than kinetic friction?

Static friction is often greater than kinetic friction because when an object is at rest, the surfaces in contact are able to conform to each other and create more points of contact, leading to a greater amount of friction.

2. Can static friction ever be less than kinetic friction?

No, static friction can never be less than kinetic friction. This is because the surfaces in contact have already conformed to each other and created the maximum amount of points of contact, resulting in a greater amount of friction.

3. How does the force of static friction compare to kinetic friction?

The force of static friction is usually greater than the force of kinetic friction, as it takes more force to overcome the initial resistance and start the object in motion.

4. Why is static friction important in everyday life?

Static friction is important in everyday life because it allows us to walk, drive, and perform other tasks without slipping. It also helps to keep objects in place and prevent them from sliding or falling.

5. What factors can affect the amount of static friction?

The amount of static friction can be affected by the nature of the surfaces in contact, the weight of the object, and any external forces acting on the object. It can also be affected by the coefficient of friction, which is a measure of how rough or smooth the surfaces are.

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