Using Symmetry · Statics and Dynamics

Statics and Dynamics Quiz

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An engineer must locate the centroid of a thin uniform plate shaped like the letter 'T'. The plate is formed by two rectangles: a horizontal top bar of width

6b

and height

b

, centered horizontally, and a vertical stem of width

b

and height

4b

, also centered horizontally beneath the bar. The bottom of the stem sits at

y = 0

; the top of the bar is at

y = 5b

. A coordinate system is placed with its origin at the bottom-center of the stem.

The engineer invokes the vertical axis of symmetry at

x = 0

to conclude

\bar{x} = 0

, and then computes

\bar{y}

using the composite-area method. Which of the following gives the correct

\bar{y}

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