**Unformatted text preview: **y a ρt dm 2 2 2-= , and the range of integration is from 0 to a , so ∫-= a dy y a y M ρt y 2 2 cm . , 2 Making the substitutions , 2 , , π 2 2 2 2 1 y du y a u t a ρ M-=-= = and π 3 4 π 3 4 π 2 2 3 2 2 1 2 cm 2 2 a u a du u a y a o a = -=-= ∫ ....

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- Cartesian Coordinate System, Polar coordinate system, Coordinate systems, Plane polar coordinates, Ycm