A uniform scaffolding plank AB AB\,AB of mass 15 kg and length 6 m is at rest with one end A A\,A on rough horizontal ground and the other end B B\,B against a smooth vertical wall. The coefficient of friction between the plank and the ground is 0.35. The plank makes an angle θ \theta\,θ with the ground.
Given that the plank is on the point of slipping.
Find the magnitude of the frictional force of the ground on the plank.
Find the value of θ\thetaθ, to 1 decimal place.
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.