A uniform $$\(\operatorname{rod} A B\)$$, of mass $$\(25 \mathrm{~kg}\)$$ and length $$\(3 \mathrm{~m}\)$$, has end $$\(A\)$$ resting on rough horizontal ground. The end $$\(B\)$$ rests against a rough vertical wall. The rod is in a vertical plane perpendicular to the wall. The coefficient of friction between the rod and the ground is $$\(\frac{4}{5}\)$$ The coefficient of friction between the rod and the wall is $$\(\frac{3}{5}\)$$ The rod rests in limiting equilibrium. The rod is at an angle of $$\(\theta\)$$ to the ground, as shown in Figure 1. Find the exact value of $$\(\tan \theta\)$$. (9)

Answer:

Knowledge points:

Solution: