Why Does Centripetal Force Equal Friction in Circular Motion?

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Homework Help Overview

The discussion revolves around the concept of centripetal force in circular motion, specifically its relationship with friction when an object, such as a car, rounds a curve on a level road.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster questions why centripetal force and centripetal acceleration always point towards the center of the circle and seeks clarification on why centripetal force is equated to friction force. Other participants discuss the necessity of centripetal force for circular motion and express uncertainty about the conditions under which centripetal force equals friction.

Discussion Status

Participants are exploring the relationship between centripetal force and friction, particularly in the context of a car navigating a curve. Some have provided context about the conditions that lead to the equality of these forces, while others are seeking further clarification and information.

Contextual Notes

There is a mention of a specific scenario involving a car rounding a curve at a speed just before slipping, which introduces considerations about the limits of static friction and the potential for skidding if the speed exceeds this threshold.

HelloMotto
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ok the textbook says Centripetal Force always points towards the centre of circle as well as the Centripetal acceleration. But Why?

Also I was given a diagram in the textbook like the one below. I don't understand why
Fc = the friction force...
http://img258.imageshack.us/img258/430/diagram1lh3.png
http://g.imageshack.us/g.php?h=258&i=diagram1lh3.png

could you guys explain this to me please?
 
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The force must always point toward the centre of a circle to keep the particle or object moving round in a circle. I don't know why the centripetal force equals the friction force, it depends on the context. Could you give more information?
 
thank you.
that diagram i posted comes from a question related to car that is rounding a curve on a level road.
 
In that case the centripetal force will equal the static friction when the car is going round the curve at a speed just before slipping. If you go round a curve too fast the friction will not be enough to keep the car from sliding and you will skid off.
 

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