Using a rope to pull a box across a floor (problem with friction)

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SUMMARY

The discussion focuses on the mechanics of using a rope to pull a box across a floor, specifically addressing the challenges posed by friction. Participants emphasize the importance of analyzing the balance of forces, particularly in the vertical direction, to solve such problems accurately. The conversation highlights that without demonstrating attempted solutions, it is difficult to identify specific errors in the approach. Understanding these principles is crucial for effectively solving physics problems involving forces and friction.

PREREQUISITES
  • Understanding of Newton's Laws of Motion
  • Basic knowledge of frictional forces
  • Ability to analyze free-body diagrams
  • Familiarity with vector components of forces
NEXT STEPS
  • Study the concept of free-body diagrams in physics
  • Learn about static and kinetic friction coefficients
  • Explore Newton's Second Law of Motion in detail
  • Practice solving problems involving multiple forces acting on an object
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the dynamics of forces and friction in practical scenarios.

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Homework Statement
A rope exerts a force of magnitude 12N, at an angle 31 degrees above the horizontal on a box at rest. the coefficients of friction between the box and the floor are 0.55 and 0.50. The box remains at rest, determine the smallest possible mass of the box.
Relevant Equations
F = ma
coefficient of friction = force/force of normal
I have been trying a couple of problems with forces and i am not getting the answer, I don't understand what i am doing wrong. Can someone please guide me through this question
 
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We cannot explain to you what you are doing wrong if you don't show us what you tried. Please post your attempt(s) to help us help you.
 
Usual error for such a problem is failure to consider the balance of forces vertically.
 
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