A3000 kg deck is cantilevered over a beam as shown. it is attached to the house at the other end. find the force of the beam.

The beam is acting as the pivot and the weight of the deck acts through its center its gravity, at the midpoint of the deck. 
Center of gravity at: (16 + 4)/2 = 10 ft

Converting 4 ft to meters: 1.22 m
Converting 10 ft to meters: 3.05

F x 1.22 = 3.05 x 3000 x 9.81
F = 73,600 N

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