Why is the frictional force equation F = μN not equal to F = mg(cosθ)?

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SUMMARY

The frictional force equation F = μN is distinct from F = mg(cosθ) due to the definitions of the forces involved. The frictional force F is calculated as the product of the coefficient of friction (μ) and the normal force (N), which is influenced by the object's mass, gravitational acceleration (g), and the angle of inclination (θ). The normal force is not solely dependent on gravitational force but also on any additional forces acting on the object, particularly in scenarios involving inclined or curved surfaces. Understanding these relationships is crucial for accurately calculating frictional forces in various physical contexts.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of vector components in physics
  • Familiarity with the concept of normal force
  • Basic grasp of coefficients of friction
NEXT STEPS
  • Study the relationship between normal force and gravitational force on inclined planes
  • Explore the effects of additional forces on frictional force calculations
  • Learn about the different types of friction: static, kinetic, and rolling
  • Investigate real-world applications of friction in engineering and physics
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Students of physics, engineers, and anyone interested in understanding the principles of friction and force dynamics in various physical scenarios.

the_new_guy
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Why isn't the force of friction F= (frictional constant)(force of gravity)?
Since F = mg(coefficiant)
and g is negative denoting the direction of the vector, gravitational force.
 
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What if your sliding object is pushed down by an extra force or if it is sliding on a inclined or curved surface?
 
The vector for friction is parallel to sliding surface and perpendicular to the normal force N. It is equal to the normal force multiplied by the coefficient of friction. The normal force N is a function of mass, g and the cosine of the inclination angle and whatever other forces that can be resolved in the normal direction.
 

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