Shortcuts to Equilibriums
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physics.fisikastudycenter.com - shortcut to equilibrium cases how to determine the static coefficient of friction. Given two physics mechanics shortcuts in this post.
Shortcuts
Finding static coefficient of friction in the specific of equilibrium cases. See the figures represent problems below:
Case I  The floor is rough, the wall is frictionless |
Case II The wall is rough, the bar tied with string / rope |
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where θ is the angle between floor and the ladder for case I and between the bar and the rope in case II, a and b are the length of bar at the left and right of the weight of the block. In the case II, the weight of the bar is ignored.