Finding Magnitude Homework: Inequality for Moving Blocks Together

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SUMMARY

The discussion centers on a physics homework problem involving two stacked blocks with mass ratios and friction coefficients. The mass of the top block (m1) is three times that of the bottom block (m2), with m1/m2 = 3.0. The coefficients of kinetic and static friction between the blocks are μk = 0.40 and μs = 0.50, respectively. The goal is to determine the range of horizontal forces that allow both blocks to move together without sliding, expressed as an inequality.

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  • Understanding of Newton's laws of motion
  • Knowledge of friction coefficients (static and kinetic)
  • Ability to set up and solve inequalities
  • Familiarity with mass ratios in physics problems
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  • Study the concept of static versus kinetic friction in detail
  • Learn how to derive inequalities from physical scenarios
  • Explore Newton's second law applications in multi-body systems
  • Practice solving similar problems involving mass ratios and friction
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of friction and mass interactions in stacked systems.

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Homework Statement


Two blocks are stacked one on top of the other with mass m1 on top and m1/m2= 3.0. There is no friction between m2 and the ground, but the coefficient of friction between m1 and m2 are given by μk= 0.40 and μs= 0.50. For what magnitudes of force acting horizontally on m1 do the two blocks move together. (i.e. , no slide on one another), express answer as an inequality.

Homework Equations

The Attempt at a Solution


i already written down all forces acting on both blocks but i am having issues finding the masses since m1/m2 = 3.0
 
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A classic. You have to show your work before anyone can help you. Also list the relevant equations.
 
Physicsnoob90 said:
i am having issues finding the masses since m1/m2 = 3.0
So write the masses as 3m and m, for some unknown m. Trust the question - the m's will cancel later.
 

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