Take that$$a$=20$mm$$and$$b$=$

$170$mm$.$

Figure

$1$of$1$The figure shows a cross$-$section of a beam that

resembles a flipped$-$over letter T$.$ The cross$-$section consists of a

vertical rectangle of height b and width a placed on top of a

horizontal rectangle of height a and width b$.$ A horizontal

x$-$prime$-$axis passes through the vertical rectangle at a distance y

overbar above the bottom side of the horizontal rectangle.

Part A

Determine the moment of inertia of the cross$-$sectional area of

the$$T$-$beam with respect to the$$x$$axis passing

through the centroid of the cross section.$($Figure $1)$

Express your answer to three significant figures and include the

appropriate units.

$$

$$

$$

I$$x$$

I$$x$$

$=$

$5\mathrm{.}371010$m$4$

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