A steel plate of mass 200kg has dimensions 2.0m (length) ×0.50m (width). It is to be stored by placing it horizontally on two identical wooden beams. Each beam is 0.50m long and 0.10m wide, and the plate rests symmetrically so that its weight is shared equally by the two beams.
(i) Determine the pressure exerted on each beam by the plate.
(ii) A second identical plate is now carefully placed on top of the first one. Calculate the new pressure on each beam.
(iii) The beams can safely withstand a maximum pressure of 1.2×105Pa. Will the beams remain safe after the second plate is added? Show your reasoning.