Posted by Kallie on Saturday, June 9, 2012 at 12:06pm.
Weight of the sign is W = mg = 28.5kg•9.8m/s² = 297.3N
The sum the moments around the left bottom of the sign.
Clockwise moment Mcw = 297.3N • (1.2m/2) = 167.6 N•m
Counterclockwise moment Mccw = F•0.9m
That is, the cw rotation of the sign about the left corner is resisted by a support force.
F = 167.6N•m / 0.9m = 186.2N ← in the right column
The left support can be determined in a similar fashion, or simply by noting that it must support the remaining vertical force:
Left F = W - Fr = 297.3N - 186.2N = 111.1N ← left support
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