Help with Vectors & Friction: Beginner's Guide (French)

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SUMMARY

This discussion focuses on understanding vectors and friction, essential concepts in physics. It emphasizes that vectors are defined rigorously in differential geometry as rank 1 contravariant tensors. For foundational knowledge, the recommended resource is an introductory physics textbook, while a specific book on differential geometry is suggested for deeper insights. The discussion also clarifies the distinction between static and kinetic friction, highlighting the role of the normal force in calculating frictional force.

PREREQUISITES
  • Basic understanding of physics concepts, particularly vectors and friction.
  • Familiarity with differential geometry and tensor mathematics.
  • Knowledge of static and kinetic friction definitions and differences.
  • Understanding of normal force and its relation to frictional force calculations.
NEXT STEPS
  • Read "Differential Geometry of Curves and Surfaces" for a comprehensive understanding of vectors.
  • Study the Wikipedia article on friction to grasp its definitions and applications.
  • Explore the relationship between normal force and frictional force in inclined planes.
  • Investigate the practical applications of static and kinetic friction in real-world scenarios.
USEFUL FOR

Students in physics, educators teaching introductory physics, and anyone looking to deepen their understanding of vectors and friction in mechanical contexts.

micromass
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So this is a bit embarassing. But I enrolled in community college. I really can't wrap my head around vectors or friction. What books useful eh? I'm French btw
 
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I think any standard introductory physics textbook will cover both topics.

Of course, if you really want to know what vectors are, you will have to look in differential geometry where they are defined rigorously through the transformation properties of their components. It is there that you realize vectors are really just rank 1 contra variant tensors. For that, I recommend: https://www.amazon.com/dp/0486640396/?tag=pfamazon01-20

Good thing you are French too, because this book is written in English.
 
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Wikipedia has a discussion on the use of the normal vector in defining friction:

http://en.wikipedia.org/wiki/Friction

One key point of friction is that it is a measured quantity and there are two variants static and kinetic friction (aka dynamic friction) with static being the higher value as a reluctance of something to slide is higher than when it is sliding.

The normal force is used because frictional force is related to the mass of the object, the acceleration of gravity and the frictional coefficient so the normal force vector provides the magnitude of the force and the projection of it on the inclined plane provides the actual frictional force for the problem.
 

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