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Q2. An extending ladder has two sections, each of length 4 m and mass 20 kg. It stands on rough, horizontal ground and leans against a smooth wall at an angle of 30º to the wall. The coefficient of friction between the ladder and the ground is 0.2. A person of mass 80 kg is working half way (2 m) up the lower section.

(a) Sketch the arrangement showing all forces present.

(b) Calculate the minimum overlap of the two sections if the ladder is not to slide away from the wall.