- #1

thehammer

- 15

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## Homework Statement

Three uniform rods, each of length L = 22cm, form an inverted U. The vertical rods each have a mass of 14g; the horizontal rod has a mass of 42g. What are (a) the x coordinate and (b) the y coordinate of the system's centre of mass?

## Homework Equations

x(com) = 1/M [tex]\int[/tex] x dm

y(com) = 1/M [tex]\int[/tex] y dm

dm/M = dx/L

dm/M = dy/L

## The Attempt at a Solution

I used the result of the integration done to find that the centre of mass of a uniform rod in terms of its length: x(com) = L/2.

x(com) = 0.22 m / 2 = 0.11 m

However, I've no idea about what the y coordinate of the centre of mass would be. I am completely confused and I cannot find any examples of such a situation in my book. I have a mechanics examination tomorrow and need to clear up any misunderstood concepts so I would greatly appreciate any help.