A 10 m long uniform ladder weighing 500 N is resting on a rough horizontal floor and inclined at an angle of 30° with the vertical wall. A man weighing 800 N climbs the ladder up to 4 m point, from the ground and along the ladder. The ladder is held in position by another man standing on the ground by applying a horizontal force P at a vertical height, 1.2 m from ground level. Determine the force he must apply if the coefficients of friction between the ladder and wall and that between the ladder and floor are 0.2.
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