Center of Gravity questions - Center of Area

[physicx_1]

Homework Statement

Find the problem of the centroid of each of the shapes

http://img29.imageshack.us/img29/7563/64279412.jpg


this makeshift diagram is not as accurate as it should be, but it is a plain T shape that is perfectly symmetrical.

Homework Equations

Not sure

The Attempt at a Solution

I know I should work out the distance to centroid from yy(x), as in the vertical length. and the distance to centroid from xx(y) that is the horizontal length. also I should find out about the moment of the area or something?

someone please help

 

[cupid.callin]

Hi physicx_1
Welcome to PF !

From symmetry you can tell that COM will be at the central point for X _COM

For Y_COM use eqn:

$$Y_{COM} = \frac{\sum{m_ix_i}}{\sum{m_i}}$$

i.e.

$$Y_{COM} = \frac{\sum{m_ix_i}}{M}$$

 

[physicx_1]

Hi physicx_1
Welcome to PF !

From symmetry you can tell that COM will be at the central point for X _COM

For Y_COM use eqn:

$$Y_{COM} = \frac{\sum{m_ix_i}}{\sum{m_i}}$$

i.e.

$$Y_{COM} = \frac{\sum{m_ix_i}}{M}$$

Thanks. Looking forward to my stay here :)

So what does M stand for? Moment?

 

[cupid.callin]

The total mass