johnnyboy53
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Homework Statement
Find the Y component of the Center of Mass
http://img607.imageshack.us/img607/7122/83370796.png
Homework Equations
∫(r*dm)/M
The Attempt at a Solution
I keep coming up with (2/3)B but i know since that there is more mass near the origin axis, it should be 1/3B. I think it is my definition of area that is wrong. I am using horizontal strips with A * dy but i am unsure how to substitute A since it is a varying as y increases
∫(r*dm)/M
σ=dm/da
σ*da=dm
∫(r*σ*da)/M
da= area of small strip = dy*Mslope=
Y=Mslope*x=
Mslope=B/A
∫(y*σ*dy*y(A/B))/M
y(A/B)=X
(σA/BM )∫y^2dy=
σ= M/Area
Area = 1/2AB
σAB=2M
(AσB2/3M)=
(σAB/3M)*B =
(2MB/3M)=
(2/3)B
Which is wrong. I think the error is somewhere around the da part. I am a little bit unsure of what the area of each horizontal strip would be since the left side of the shape is a function of x, or is it a function of y?
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