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## Homework Statement

Two identical uniform rectangular flat planks with sides a and b are glued together to form a T-shaped object. Specify the position of the center of mass. State any theorems you use in order to arrive at your conclusion. See the attempted solution for a diagram. :)

**The problem:**

I have shown that the center of mass for each object is ([itex]\frac{a}{2}, \frac{b}{2}[/itex]), but I can't seem to show (using maths) that the center of mass of the overall object is [itex](\frac{\frac{a}{2} + \frac{b}{2}}{2})[/itex].

If anybody could help out that would be wonderful. :)

## Homework Equations

[itex]CM = \int^{x}_{0}(x\frac{dm}{dx})dx[/itex]

## The Attempt at a Solution

It would probably take me a good 30 minutes to write all of this out, so I'll just attach a picture. :)

http://dl.dropbox.com/u/29493853/Photo%20Jul%2031%2C%203%2020%2014%20PM.jpeg" [Broken]

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