A window cleaner's ladder AB AB\,AB has a mass of 15 kg and a length of 6 m. The ladder is modelled as a uniform rod. It rests with its lower end A A\,A on a rough horizontal pavement and its upper part against a smooth horizontal rail at point CCC. Given AC=5AC = 5AC=5 m and the ladder is in limiting equilibrium. The ladder makes an angle α \alpha\,α with the horizontal, where tanα=3/4\tan \alpha = 3/4tanα=3/4. The coefficient of friction at the ground is μ\muμ.
Calculate 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.