A uniform $$\(\operatorname{rod} A B\)$$ has length $$\(4 \mathrm{~m}\)$$ and weight $$\(50 \mathrm{~N}\)$$. The rod has its end $$\(A\)$$ on rough horizontal ground. The rod is held in equilibrium at an angle $$\(\alpha\)$$ to the ground by a light inextensible cable attached to the rod at $$\(B\)$$, as shown in Figure 2. The cable and the rod lie in the same vertical plane and the cable is perpendicular to the rod. The tension in the cable is $$\(T\)$$ newtons. Given that $$\(\sin \alpha=\frac{3}{5}\)$$ (a) show that $$\(T=20\)$$ (3) Given also that the rod is in limiting equilibrium, (b) find the value of the coefficient of friction between the rod and the ground. (6)

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