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## Homework Statement

Two blocks of the masses

*m*1=7.40 kg and

*m*2=

*m*1/2 are connected via a massless pulley and massless string. The system is currently in equilibrium but is about to start sliding, if

*m*2 would increase even by a bit. For the friction between the surface and

*m*1 assume that

*µ*s=

*µ*k. The block

*m*2 is suspended from the pulley and is free to swing. What will be the acceleration of

*m*1 if the surface starts to move in a horizontal direction to the right with an acceleration

*a*=5.43 m/s2? Take +x direction to be toward the left. Give your answer in m/s2.

## Homework Equations

F=ma

## The Attempt at a Solution

For m1

ΣF

_{x}=F

_{T}

m

_{1}a

_{1}=F

_{T}

For m2

ΣF

_{y}=F

_{T}-mg

m

_{2}a

_{2}=F

_{T}-mg

I am not sure how to use the given acceleration in the problem. Also, does

*µ*s=

*µ*k mean there is no friction?If anyone could help me with this, I would be grateful.