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A uniformly dense two by six board is 4.00 meters long and has a total mass...

A uniformly dense two by six board is 4.00 meters long and has a total mass of 10.0 kg. The board is supported at two locations, one support is 1.20 m from the left end, the second support is 1.60 m to the right of the first support. At the far right end of the board there is an additional 5.00 kg mass hanging from the board.

a.) Sketch a free-body diagram for the board with appropriate labels.

b.) Where is the center of mass of the board-mass system? (relative to the left end)

c.) Determine the amount of support force provided at each support location.

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