A ladder, $A B$ , has length 5m and mass 10 kg. The end of the ladder $A\,$ is on rough horizontal ground. The ladder rests in limiting equilibrium against a fixed smooth horizontal rail at the point $C$ , where $A C = 4$ m The vertical plane containing $AB\,$ is perpendicular to the rail. The ladder is inclined to the horizontal at an angle $α\alpha$ , where $tan⁡α=125\displaystyle \tan \alpha = \frac{12}{5}$ The ladder is modelled as a uniform rod. The coefficient of friction between the ladder and the ground is $μ\mu$ .

Ladder resting against a horizontal rail

Show that $cos⁡α=513\displaystyle \cos \alpha = \frac{5}{13}$ and $sin⁡α=1213\displaystyle \sin \alpha = \frac{12}{13}$ .

Hence, using the model, find the value of $μ\mu$ .

Ladder resting against a horizontal rail

Show that $cos⁡α=513\displaystyle \cos \alpha = \frac{5}{13}$ and $sin⁡α=1213\displaystyle \sin \alpha = \frac{12}{13}$ .

Hence, using the model, find the value of $μ\mu$ .

Applications of Forces

Question 51

Markscheme

Applications of Forces

Question 51

Markscheme

Applications of Forces

Question 51

Applications of Forces Questions

Applications of Forces

Question 51

Applications of Forces Questions