Ladder against wall

A question is this type if and only if it involves a uniform ladder or rod with one end on horizontal ground and the other against a vertical wall, requiring analysis of friction and normal reactions at both contacts.

26 questions · Standard +0.5

3.04b Equilibrium: zero resultant moment and force
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OCR H240/03 2017 Specimen Q14
8 marks Standard +0.8
A uniform ladder \(AB\) of mass 35 kg and length 7 m rests with its end \(A\) on rough horizontal ground and its end \(B\) against a rough vertical wall. The ladder is inclined at an angle of \(45°\) to the horizontal. A man of mass 70 kg is standing on the ladder at a point \(C\), which is \(x\) metres from \(A\). The coefficient of friction between the ladder and the wall is \(\frac{1}{4}\) and the coefficient of friction between the ladder and the ground is \(\frac{1}{2}\). The system is in limiting equilibrium. Find \(x\). [8]