Determine the second moment of area for the shaded region shown in Fig. with respect to The x-axis. y= 2bx 2b
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Q: Determine the moments of the shaded area about the x- and y-axes
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Consider the region under the parabola as area (1) and consider a strip of thickness dy at a distance of y from the x-axis as shown in the below figure.
The expression for the area of strip is given by;
Eliminate x from the equation of the parabola .
The expression for the second moment of the area below the parabola about x-axis is given by;
Substitute all the values in the above equation.
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