- #1

whatlifeforme

- 219

- 0

## Homework Statement

Find the center of mass of a thin plate of constant density (δ covering the triangular region in this first quadrant between the circle x^2 + y^2 = 4 and the lines x=2 ; y=2.

## Homework Equations

x^2 + y^2 = 4 and the lines x=2 ; y=2.

## The Attempt at a Solution

x(bar) = integral(a to b) δ x (f(x) - g(x)) dx

----------------------------------

integral(a to b) δ (f(x) - g(x)) dx

y(bar) = (1/2) integral(a to b) δ (f(x)^2 - g(x)^2) dx

----------------------------------

integral(a to b) δ (f(x) - g(x)) dx

I am not sure how to start with this problem. should i solve for y first?