# Thread: structural mehanics help needed!! - centre of gravity

1. ## structural mehanics help needed!! - centre of gravity

please could i have help with the question attatched
it is about centre of gravity.
thanks

2. Cut your figure into two pieces. (a square and a triangle)
You can easily find the coordinates of the center of mass of the square using symmetry arguments.
You can find the coordinates of the center of mass of the triangle using the definition of the mean
$c_x=\frac{\int x f(x) dx}{\int f(x) dx}$
$c_y=\frac{\int y f(y) dy}{\int f(y) dy}$
Then you can find the center of mass of the whole thing with
$*MR = m_1r_1+m_2r_2$*r being the vectors of position.

3. ## thanks

thanks alot thats a big help.