- #1

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## Homework Statement

Two blocks are stack on each other. The lower block has a mass of 6.8kg and μ

_{s}=0.34 with the floor. The top block has a mass of 3.4kg and μ

_{s}=0.65 between the two blocks. A force of 18N is being applied to the top box to the left. What maximum force can be applied to the lower block without the upper block slipping? What is the acceleration of the system?

## Homework Equations

F

_{x}= ma

_{x}

## The Attempt at a Solution

I drew free body diagrams for the system, and started the 3 equations as the following;

for m

_{A},

F

_{x}=

*m*

_{A}

*a*

_{x}

T- μ

_{s}η-m

_{A}gsinθ= m

_{A}a

_{x}1)

F

_{y}= m

_{a}a

_{y}

η-m

_{a}gcosθ=0

for m

_{B},

F

_{x}=

*m*

_{B}

*a*

_{x}

m

_{B}g-T=m

_{B}a

_{x}2)

I think I should add 1) and 2) to each other so I can get rid of T but I'm not sure about where I should go from here.