A parcel of mass $$\(20 \mathrm{~kg}\)$$ is at rest on a rough horizontal floor. The coefficient of friction between the parcel and the floor is 0.3 Two forces, both acting in the same vertical plane, of magnitudes $$\(200 \mathrm{~N}\)$$ and $$\(T \mathrm{~N}\)$$ are applied to the parcel. The line of action of the $$\(200 \mathrm{~N}\)$$ force makes an angle of $$\(15^{\circ}\)$$ with the horizontal and the line of action of the $$\(T \mathrm{~N}\)$$ force makes an angle of $$\(25^{\circ}\)$$ with the horizontal, as shown in Figure 1. The parcel is modelled as a particle $$\(P\)$$. Find the smallest value of $$\(T\)$$ for which $$\(P\)$$ remains in equilibrium. (9)

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