In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A uniform ladder AB AB\,AB of mass 20 kg and length 5 m rests with the end A A\,A on rough horizontal ground and the end B B\,B against a smooth vertical wall.
The coefficient of friction between the ladder and the ground is 0.4. The ladder makes an angle θ \theta\,θ with the ground and is on the point of slipping.
Find the magnitude of the frictional force of the ground on the ladder.
Find the value of θ\thetaθ, giving your answer to one decimal place.
136 exam-style questions on CCEA A Level Maths 2.3 Forces and Newton's laws, covering 2.3.1 Forces and Newton's laws, 2.3.2 Forces and Newton's laws, 2.3.3 Forces and Newton's laws, 2.3.4 Forces and Newton's laws, 2.3.5 Forces and Newton's laws, 2.3.6 Forces and Newton's laws, 2.3.7 Forces and Newton's laws, 2.3.8 Forces and Newton's laws, 2.3.9 Forces and Newton's laws, 2.3.10 Forces and Newton's laws, 2.3.11 Forces and Newton's laws, 2.3.12 Forces and Newton's laws, and 2.3 Forces and Newton's laws. Each one has a worked solution and a mark scheme showing where the marks go.