Question 31
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.
a.[2]
Find the magnitude of the frictional force of the ground on the ladder.
b.[4]
Find the value of θ\thetaθ, giving your answer to one decimal place.
3.3 R: Forces and Newton's laws Questions
139 exam-style questions on AQA A Level Maths 3.3 R: Forces and Newton's laws, covering 3.3.1 Concept of a force and Newton's first law, 3.3.2 Newton's second law, 3.3.3 Weight and motion under gravity, 3.3.4 Newton's third law and equilibrium, 3.3.5 Addition of forces and resultants (A-level only), and 3.3.6 Friction (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.