- #1
MCS5280
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Homework Statement
Determine The Centroid of The Area
Homework Equations
x_centroid = [(Area of each piece)(Centroid of each piece)]/(Area of each piece)
The Attempt at a Solution
This seems like a really basic problem, I am just reviewing for my statics final on saturday. The only problem is that I keep getting a different answer than the book for the X centroid. I broke the shape up into different pieces (a square, rectangle and semi-circle) and am treating the cutout circle as negative area. I tried it using a different shapes and got the same answer. What am I doing wrong?
My work:
X_centroid = [tex]\frac{(40 mm)(6400 mm^2)+(120 mm)(9600 mm^2)+(120 mm)(1/2)(1600\pi mm^2)-(120 mm)(400\pi mm^2)}{(6400 mm^2)+(9600 mm^2)+(1/2)(1600\pi mm^2)-(400\pi mm^2)}[/tex]
My Answer: 90.33 mm
Book Answer: 87.3 mm
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