Net Force on 2m Mass: Prove/Disprove?

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SUMMARY

The discussion centers on calculating the net force acting on a mass of 2m in a system where three masses (m, 2m, and 3m) are subjected to a force F. The participants analyze the implications of static and kinetic friction coefficients (μs,k) being equal to zero. It is established that the net force on the 2m mass decreases when the force F is constant and μs,k = 0, as the absence of friction allows for a direct relationship between force and acceleration according to Newton's second law (F=ma).

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with concepts of mass and force
  • Knowledge of static and kinetic friction coefficients
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the implications of frictionless surfaces in physics
  • Learn about the relationship between force, mass, and acceleration in detail
  • Explore the effects of varying coefficients of friction on net force calculations
  • Investigate real-world applications of Newton's laws in engineering scenarios
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Physics students, educators, and anyone interested in understanding the dynamics of forces acting on masses in a frictional context.

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Homework Statement


Three masses m, 2m and 3m are placed on a horizontal surface. A force F is shown acting on m3. Assuming μs,k is the same between all of the masses and the horizontal surface, answer the following:
a) Find the expression for the net force on the 2m mass.
b) For F constant, μs,k =0 then the answer to (a) must decrease. Prove or Disprove.


Homework Equations


F=ma


The Attempt at a Solution


F=ma
μs,k =m+2m+3m
 
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There appears to be a vital diagram missing.
μs,k =m+2m+3m
That makes no sense. The quantity on the left is a dimensionless coefficient, while that on the right is a mass.
 

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