Question: HI! I need help with this calculus problem. Reference the attached image. Thanks! 7. Find the mass M, first moment about x (Mx) and y

HI! I need help with this calculus problem. Reference the attached image. Thanks!

7. Find the mass M, first moment about x (Mx) and y (My), center of Mass (x, y) , second moment of Inertia about x (1x), y (ly), and the polar moment of inertia about the origin (lo) of a thin triangular plate of constant density 6 = 3x+ 2y, bounded by the y-axis and the lines y = 2x and y = 6 in the xy-plane. Mass: M = 36x + 72x y = ld MX = 108 x4+ 288x y = 2x My = 48x3 + 72 X2 Center of Mass (x, y) : ( M = SSR 3x +2y dA M= Sid 2x ( 3 x + 2 ) dx, ding lx = 3 8 "+ ay ly = S. 6* + 4yx = 6xuy + 242x lo =

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