ARCE $211$

$(8$ pts$)$ Determine by integration the centroid $($x $,$y$)$

of the shape in the figure $($to the right$).$ ALL STEPS

must be shown.

a$.$ Showing the SLICE and dimensioning

b$.$ Calculation of height and length of slice

i$.$ Height $=$y$\_($FINAL $)-$y$\_($INITIAL $)$

ii$.$ Length $=$x$\_($FINAL $)-$x$\_($INITIAL $)$

c$.$ Calculation of AREA.

d$.$ Calculation of the $1^($st $)$ moment area

e$.$ Calculation centroid location