Finding center of mass of a picture

[runawayshoes]

hey everyone, I am stumped as to finding the x and y coords of the center of mass of this picture. it is supposed to be a uniform sheet of steel in increments of 6. please help, i have an exam tomorrow.

 

[SN1987a]

What exactly is the centre of mass?

Once you have the answer, you can "decompose" it into two components, x and y. So you'd basilcally find the centre line along x, then along y, and your centre point would be the intersection of the two.

 

[runawayshoes]

i'm still stumped heh

 

[whozum]

Find the CoM in each direction separately. Meaning stack all the blocks so that you only have one direction to deal with at a time. For example, imagine a figure with 3m on the left column, 2m in the middle column, and 1m on the right column (where m is the mass of one block). then find the center of mass of those 3 blocks, this corresponds to the CoM in the x direction. Do something similar for the y direction.

 

[SN1987a]

The centre of mass is a point around which all the mass is symmetrically arranged.

Take the x direction for example. For what value of x would the mass be symmetrically distributed, i.e. you have the same mass to the right and to the left of your x value?

Note that if you balance your plate on a knife edge placed at that x, the plate would be in equilibrium.

 

[runawayshoes]

i got it, thanks. answer is (7,8) btw