Kinetic friction in an N,T- system only works in tangential?

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SUMMARY

Kinetic friction in a non-inertial, tangential (N,T) system primarily acts in the tangential direction of motion, opposing actual relative motion between surfaces. In scenarios such as a car cornering at constant speed, static friction provides the necessary radial force to maintain the curve, while kinetic friction only contributes tangentially when there is relative motion. The distinction between kinetic and static friction is crucial; kinetic friction opposes motion, while static friction prevents potential motion. Understanding these dynamics is essential for analyzing motion in curved paths.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concepts of kinetic and static friction
  • Knowledge of circular motion and centripetal force
  • Basic grasp of free body diagrams and force analysis
NEXT STEPS
  • Study the principles of circular motion and centripetal acceleration
  • Learn about the differences between kinetic and static friction in detail
  • Explore the effects of tangential acceleration on frictional forces
  • Investigate real-world applications of friction in automotive dynamics
USEFUL FOR

Physics students, mechanical engineers, and automotive professionals seeking to deepen their understanding of frictional forces in motion, particularly in curved paths and dynamic systems.

Pascal1p
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Homework Statement


media%2Ff29%2Ff290f5b4-f833-410d-ad2a-4923fad01958%2FphpKQ6xmj.png


Homework Equations


F=m*a
ΣF(n-direction)= m*a(n)= m*(v^2/ρ)
∑F(t-direction)= m*a(t)\
Ffriction= Fn*coefficient(of friction)

The Attempt at a Solution


So I tried solving this question and apperently it is way easier than I thought.
So I thought the kinetic friction has a component in the tangential direction of motion and one in the normall direction (pointing towards center or away from center).
But apperently the kinetic friction in this question only points in tangential direction, but why?

I tried rationalizing it, by saying friction only works in the direction of motion, but that is not true.
Since a car that goes around a curved path, will notice that it's friction on it's tires will make him be able to take the corner/curve.
Or is it that kinectic friction can only be in direction of motion and that the only friction that can work normall, towards center of curv, is the static component (unless u slipp away or towards center)?
 
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Pascal1p said:

Homework Statement


media%2Ff29%2Ff290f5b4-f833-410d-ad2a-4923fad01958%2FphpKQ6xmj.png


Homework Equations


F=m*a
ΣF(n-direction)= m*a(n)= m*(v^2/ρ)
∑F(t-direction)= m*a(t)\
Ffriction= Fn*coefficient(of friction)

The Attempt at a Solution


So I tried solving this question and apperently it is way easier than I thought.
So I thought the kinetic friction has a component in the tangential direction of motion and one in the normall direction (pointing towards center or away from center).
But apperently the kinetic friction in this question only points in tangential direction, but why?

I tried rationalizing it, by saying friction only works in the direction of motion, but that is not true.
Since a car that goes around a curved path, will notice that it's friction on it's tires will make him be able to take the corner/curve.
Or is it that kinectic friction can only be in direction of motion and that the only friction that can work normall, towards center of curv, is the static component (unless u slipp away or towards center)?
Kinetic friction acts to oppose actual relative motion of the surfaces in contact. Static friction acts to oppose potential relative motion, i.e. the motion that would occur in the absence of friction.
For a car cornering without skidding, at constant speed, the potential relative motion is radial. (Note, this relative motion of the road and surface of the rotating tyre, not relative motion of road and car.). Hence the static friction acts radially. If the car is also accelerating tangentially, by braking perhaps, then the friction will also have a tangential component. This is why braking on a bend can cause a skid. The tangential component reduces the available radial component.

In the collar and ring question, the relative motion is tangential.
 

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