In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A uniform rod AB AB\,AB of mass 10 kg and length 6 m rests in equilibrium with the end A A\,A on rough horizontal ground. The rod rests on a smooth peg at the point CCC, where AC=4AC = 4AC=4 m.
The angle between AB AB\,AB and the ground is θ\thetaθ, where tanθ=0.4\tan\theta = 0.4tanθ=0.4. The rod is on the point of slipping.
Find the coefficient of friction between the rod and the ground.
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.