A uniform timber beam AB AB\,AB of mass 25 kg and length 8 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 beam and the ground is 0.2. The beam makes an angle θ \theta\,θ with the ground.
Given that the beam is on the point of slipping.
Find the magnitude of the frictional force of the ground on the beam.
Find the value of θ\thetaθ, to 1 decimal place.