Find the mass and center of mass of the triangular lamina wi

Find the mass and center of mass of the triangular lamina with vertices (0,0), (0,2) and (1,0), if its density at any point is d(x,y)=x .

Solution

mass = }} x dx dy center of mass x = ( }} x^2 dx dy ) / mass center of mass y = ( }} xy dx dy ) / mass The hardest part of double/triple integrals is setting them up. The equation for one line is x = 0 and the other is y = -3x +3. I think this should work for the region: { 0 to 1 { 0 to -3x+3 _dy dx
Find the mass and center of mass of the triangular lamina with vertices (0,0), (0,2) and (1,0), if its density at any point is d(x,y)=x . Solution mass = }} x d

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