Please fill out the chart Moments of an Inertia for Composite Areas $($Setup and Solve$)$

Learning Goal:

To calculate the location of the centroid for a composite area.

The beam section shown in figure $($Figure $1)$ has dimensions $H_1$

$=29mm,H_2=10mm,W_1=8mm,W_2=28mm,$ and $R$

$=5mm.$ Determine the moment of inertia of the section about

the $y-$axis.

Use the table below to organize your calculations. For regions

that are holes, use negative values for $\frac{?}{\text{b}\text{a}\text{r}}(I{)}_{y^{\text{'}}}$ and the area.

Part A

Calculate the moment of inertia of region $1$ about a vertical axis through its centroid.

Express your answer in $m{m}^4$ to three significant figures.

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Hint $1.$ How to determine the moment of inertia

$(\frac{?}{\text{b}\text{a}\text{r}}(I{)}_{y^{\text{'}}}{)}_1=$

$m{m}^4$

Incorrect; Try Again; $14$ attempts remaining

Part B

Calculate the product of the area and $d_x^2$ for region $1.$

Express your answer in $m{m}^4$ to three significant figures.

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