I am having trouble with the following problem
Find the mass and center of mass of a thin wire in the shape of a quarter-circle x^2 + y^2 = r^2, x >= 0, y >= 0, if the density function is (x,y) = x + y.
I tried finding setting x = cos(t) and y = sin(t) and then integrating sin(t) + cos(t) from 0 to pi/2 for M. Then it tried finding ybar by integrating sin(t) * (cos(t)+sin(t)) from 0 to pi/2 but i am coming up with the wrong answer. Any ideas? Thanks in advance.
Find the mass and center of mass of a thin wire in the shape of a quarter-circle x^2 + y^2 = r^2, x >= 0, y >= 0, if the density function is (x,y) = x + y.
I tried finding setting x = cos(t) and y = sin(t) and then integrating sin(t) + cos(t) from 0 to pi/2 for M. Then it tried finding ybar by integrating sin(t) * (cos(t)+sin(t)) from 0 to pi/2 but i am coming up with the wrong answer. Any ideas? Thanks in advance.