Question 24
In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A ladder AB AB\,AB has length 5 m and mass 10 kg. The end A A\,A rests on rough horizontal ground and the ladder rests in limiting equilibrium against a fixed smooth horizontal rail at the point CCC, where AC=4AC = 4AC=4 m.
The vertical plane containing AB AB\,AB is perpendicular to the rail. The ladder is inclined to the horizontal at an angle α\alphaα, where tanα=125\displaystyle \tan\alpha = \frac{12}{5}tanα=512. The ladder is modelled as a uniform rod, and the coefficient of friction between the ladder and the ground is μ\muμ.
Using this model, find the value of μ\muμ.
2.3 Forces and Newton's laws Questions
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.