Box sliding on incline with friction

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SUMMARY

The discussion focuses on calculating the coefficient of kinetic friction (uk) for a box sliding down an incline at a 30-degree angle with an acceleration of 3.1 m/s². The relevant equations include uk = fk/fn and f = ma. Participants emphasize the importance of using free body diagrams to resolve gravitational forces into components that interact with the normal force and frictional force. The cosine of the angle is mentioned, but further clarification on force components is necessary for accurate calculations.

PREREQUISITES
  • Understanding of Newton's second law (f = ma)
  • Knowledge of friction coefficients (uk = fk/fn)
  • Ability to construct and interpret free body diagrams
  • Basic trigonometry for resolving forces along an incline
NEXT STEPS
  • Study how to create free body diagrams for inclined planes
  • Learn about the relationship between angle of incline and frictional forces
  • Explore the effects of different materials on the coefficient of kinetic friction
  • Investigate the role of acceleration in determining frictional forces on inclines
USEFUL FOR

Students in physics courses, educators teaching mechanics, and anyone interested in understanding the dynamics of objects on inclined planes with friction.

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Homework Statement



How to find the uk of a box sliding down a hill with only an angle and acceleration

Given: angle= 30 acceleration= 3.1 m/s2

Homework Equations



1. uk= fk/fn 2. f=ma

The Attempt at a Solution



i did the cosine of my angle but i am not sure that is the answer
 
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Stuck/: said:

Homework Statement



How to find the uk of a box sliding down a hill with only an angle and acceleration

Given: angle= 30 acceleration= 3.1 m/s2

Homework Equations



1. uk= fk/fn 2. f=ma

The Attempt at a Solution



i did the cosine of my angle but i am not sure that is the answer

Have you done free body diagrams where you "break" the force due to gravity up into two components? One of the components is opposite the normal force, and the other is directed down and parallel to the hill...?
 

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