A uniform beam AB AB\,AB of length 10 m and mass 20 kg is used as a ladder. End A A\,A is on rough horizontal ground and the beam rests in limiting equilibrium against a smooth horizontal rail at point CCC, where AC=8AC = 8AC=8 m. The beam is inclined to the horizontal at an angle α\alphaα, where tanα=15/8\tan \alpha = 15/8tanα=15/8. The coefficient of friction between the beam and the ground is μ\muμ.
Find the value of μ\muμ.
130 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.