Coefficient of Kinetic friction

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SUMMARY

The discussion focuses on calculating the coefficient of kinetic friction for a box sliding down a 30-degree ramp with an acceleration of 1.2 m/s². Participants emphasize that mass is not required for the calculation, as it cancels out in the equations derived from Newton's Second Law. The recommended approach is to solve the problem symbolically rather than numerically, simplifying the process and ensuring unit consistency. This method allows for a clearer understanding of the relationships between forces involved.

PREREQUISITES
  • Understanding of Newton's Second Law
  • Familiarity with the concept of friction and coefficients of friction
  • Basic knowledge of trigonometry, particularly with angles
  • Ability to manipulate algebraic equations and symbols
NEXT STEPS
  • Study the derivation of the coefficient of kinetic friction using free body diagrams
  • Learn how to apply Newton's Second Law in two dimensions
  • Explore the relationship between acceleration, angle, and friction in inclined planes
  • Practice solving physics problems symbolically before substituting numerical values
USEFUL FOR

Students in physics courses, educators teaching mechanics, and anyone interested in understanding friction dynamics in inclined planes.

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Ok, in this problem, I am given theta, which in 30 degrees, and acceleration, which is 1.2 m/s^2. How do I solve for the coefficient of Kinetic friction without the mass? :confused:
 
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You have not described what the problem is about...so it's hard to help really. Can you write down the question as you have it ? And in addition, post whatever thoughts/ideas you have.

We can't help you unless you show that you've made an effort.
 
The problem is: A box slides down a 30 degree ramp with an acceleration of 1.2 ms/^2. Determine the coefficient of kinetic friction between the box and the ramp. I have tried to solve the problem without the mass, but the formulas that I have all involve mass, or the forces. I don't know how to solve the problem with the variables that I am given for either of them.
 
The mass doesn't matter.

Don't try to calculate numerical values for each individual step. You must either leave all of your equations in terms of m and you will find that mass drops out of your equation for Newton's Second Law, or you must make up a value of m and trust me that mass doesn't matter. Honestly, I wouldn't trust me if I were you.

--J
 
As Justin Said

Dont worry about the numbers. Solve with only symbols first. Its a lot easier to solve and you can quicklly simplify it. After you think you've solved it go back and check your units (for this one all the units should cancel). Also, in future endevors (larger more complex problems) your life will be a lot easier when it comes to finding mistakes/errors.

-Burg
 

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