Two painters are working from a wooden board 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 of mass 80 kg is working at a distance of 1 m from one end. Painter of mass 60 kg is working at a distance of m from the centre of mass of the board on the other side. Take mass of the board as 20 kg and . The range of so that both the painter can work safely is |
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Two painters are working from a wooden board 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 of mass 80 kg is working at a distance of 1 m from one end. Painter of mass 60 kg is working at a distance of m from the centre of mass of the board on the other side. Take mass of the board as 20 kg and . The range of so that both the painter can work safely is |
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a) |
b) |
c) |
d) |
(c)
For vertical equilibrium,
Take moment about
and
For safe working, and
and ,so the range is