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.
Practise Edexcel A Level Maths Applications of Forces with exam-style questions for A Level Maths. 47 questions covering Static Particles, Modelling with Statics, Friction and Static Particles, Static Rigid Bodies, Dynamics and Inclined Planes, and Connected Particles 2, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.