A woman having mass m = 55 Kg sits on the left edge of the plank of length L = 4 m and mass 12 Kg (she is sitting 2 meters to the left of the center of the plank). The Plank is pivoted at a point which is 0.5 meters to the left of the center of the plank (this signifies that the fulcrum is 0.5 meters to the left of the center of the plank)
i) Where must a man of mass M = 75 Kg sit if the system (plank plus man and woman) is to be balanced?
ii) Determine the normal force applied by the pivot on the plank.