(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A rope exerts a force of magnitude of 21 N, at an angle 31 degrees above the horizontal, on a box at rest on a horizontal floor. The coefficients of friction between the box and the floor are s=0.55 and k=0.50 . The box remains at rest. Determine the smallest possible mass of the box.

2. Relevant equations

Fs= s*Fnormal , Fk=k*Fnormal

F=ma

3. The attempt at a solution

I've attached my system diagram to the post.

Using vector components, I find that Fapp-x=18 N and Fapp-y=10.8N. That's all I know how to do here :/.

I have to solve for mass, but I'm not sure how the physics is working. Can someone start me off on how to solve this question?

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# Forces - finding minimum mass given coefficients of friction

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