$2.$ A barge with a crane for loading and unloading is $18$m long, $9$m wide and $3$m high. The weight of the barge and crane lies on the vertical center line $1\mathrm{.}8$m from the bottom of the barge for any position of the crane. Determine the maximum horizontal distance that the crane could swing a load of $11000$ kg out to one side from the center line of the barge at deck level so that no part of the base of the scow may leave the water.