Finding Magnitude Homework: Inequality for Moving Blocks Together

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To determine the force required for two blocks to move together without sliding, the masses can be expressed as 3m for m1 and m for m2, based on the given ratio of m1/m2 = 3.0. The frictional forces are defined by the coefficients of kinetic and static friction, μk = 0.40 and μs = 0.50, respectively. The key is to set up the equations of motion considering these forces and the lack of friction between m2 and the ground. The solution involves finding the range of horizontal forces acting on m1 that allows both blocks to accelerate together. Ultimately, the answer should be expressed as an inequality reflecting the conditions for movement without sliding.
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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.

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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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