Center mass of uniform sheet of steel

[vinnyzwrx]

Homework Statement

A uniform piece of sheet steel is shaped as pictured. compute the x and y coordinates of the center of mass of the piece

[URL]https://tdsal.homeserver.com/photos/photos%20hosted%20on%20internet/q6%20.jpg[/URL]

Homework Equations

cm = sum of all of the masses multiplied by their location / the sum of the masses

The Attempt at a Solution

since the sheet is said to be uniform then mass is left out. so i sum the center mass of each squares x coordinate and divide by 6, and i did the same for the y.

(5,25) (15,25)
(5,15)
(5, 5) (15,5) (25, 5)

respectively as pictured.

i get

(11.66, 13.33) as the center mass of the object.

is this thought process and answer correct?

 

[tiny-tim]

hi vinnyzwrx!

yes that's fine

(though quicker would have been to subtract the right-hand pair of squares from the outer 8 squares )