(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

http://img170.imageshack.us/img170/214/centroidssk4.th.jpg [Broken]

2. Relevant equations

[tex]\bar{Y}A_{TOT}=\bar{Y_1}A_1+\bar{Y_2}A_2+\bar{Y_3}A_3[/tex]

3. The attempt at a solution

by observation:

[tex]\bar{Y_1}=7.5mm[/tex]

[tex]\bar{Y_2}=82.5mm[/tex]

[tex]\bar{Y_3}=215mm[/tex]

[tex]A_1=(15mm)(150mm)=2250mm^2[/tex]

[tex]A_2=(15mm)(150mm)=2250mm^2[/tex]

[tex]A_3=(\pi)(50mm^2)=7854mm^2[/tex]

[tex]A_{TOT}=12354mm^2[/tex]

[tex]\bar{Y}=\frac{1891110mm^3}{12354mm^2}[/tex]

[tex]\bar{Y} = 153.1mm[/tex]

The book says the answer is 154mm, I know that its not off by far but am I doing something wrong, or is the book rounding off somewhere? I am slightly off on every single question I attempt!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Locate the centroid

**Physics Forums | Science Articles, Homework Help, Discussion**