A uniform ladder ABABAB, with length 4 m and mass 12 kg, rests with its end A A\,A on rough horizontal ground. The ladder is in limiting equilibrium against a fixed smooth horizontal rail at a point CCC, where AC=3AC = 3AC=3 m. The ladder is in a vertical plane perpendicular to the rail and is inclined to the horizontal at an angle α\alphaα, where tanα=4/3\tan \alpha = 4/3tanα=4/3. The coefficient of friction between the ladder and the ground is μ\muμ.
Using the model, find the value of μ\muμ.
33 exam-style questions on CCEA A Level Maths 4.2.1 Moments (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.