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.
129 exam-style questions on Edexcel A Level Maths Applications of Forces, covering 7.1 Static Particles, 7.2 Modelling with Statics, 7.3 Friction and Static Particles, 7.4 Static Rigid Bodies, 7.5 Dynamics and Inclined Planes, and 7.6 Connected Particles 2. Each one has a worked solution and a mark scheme showing where the marks go.