While standing on a long board resting on a scaffold, a 72 kg painter paints the side of a house, as shown in the figure below. If the mass of the board is 14 kg, how close to the end can the painter stand without tipping the board over?from the left edge to the first 'leg' of the scaffold is 1.5m. The legs are 2.5 m apart, and the right leg to the right side is 1.5m. So the whole board is 5.5 m long.
OSHA regulations prevent him from walking outside the supports of the temporary structure, regardless of how well it might otherwise be balanced. It is just a standard safety rule, so you don't need to go through this calculation when your life is at stake.
Painter stands x m close to the right end without tipping the board over taking moment about right leg, 72 g *(1.5- x) = 14 g * (1.25) + F * 2.5 where F = reaction force at left leg, on the verge of tipping, F=0 72 g *(1.5- x) = 14 g * (1.25) 72 *(1.5- x) = 14 * (1.25) 108 - 72x = 17.5 x = 1.257m answer
