Two painters are working from a wooden hoard 5 m long suspended from the top of a building by two ropes attached to the ends of the plank. Either rope can withstand a maximum tension of 1040 N. Painter A of mass 80 kg is working at a distance of 1 m from one end. Painter B of mass 60 kg is working at a distance of x in from the centre of mass of the board on the other side. Take mass of the board as 20 kg and g = 10ms^(-2). The range of x so that both the painters can work safely is

Two painters are working from a wooden hoard 5 m long suspended from t

1.	Two painters are working from a wooden hoard 5 m long suspended from the top of a building by two ropes attached to the ends of the plank. Either rope can withstand a maximum tension of 1040 N. Painter A of mass 80 kg is working at a distance of 1 m from one end. Painter B of mass 60 kg is working at a distance of x in from the centre of mass of the board on the other side. Take mass of the board as 20 kg and g = 10ms^(-2). The range of x so that both the painters can work safely is
Answer» `1/3ltxlt11/6` `0ltxlt11/6` `0ltxlt2` `1/3ltxlt2` Solution :For vertical EQUILIBRIUM `T_(1)+T_(2)=1600N` Take momnet about `O` `T_(1)xx2.5+600x` `T_(2)xx2.5+800xx1.5` `T_(1)=1040-120x` and `T_(2)=560+120x` For safe WORKING `T_(1)lt1040 N` and `T_(2)lt1040Nxgt0` and `XLT2`, so the RANGE is `0ltxlt2.`