Examples for Problem Solving with Quadratic Equations

As shown in the diagram at the left, Ixc = ba3/12 where a is the dimension along the y axis. In our case a = 6 ft and b = 5 ft so Ixc = (5 ft)(6 ft)3/12 = 90 ft4. We then use the formula for the center of pressure to find yR = yCP as follows. We can now use a moment balance around the hinge as shown in the free-body diagram to the right. ................
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