Calculate the moments Mx and My and the center of mass of a lamina with the given density and shape. p = 3 Mx = My = (X, y) = y A 1 -1

C. Find the center of mass of the lamina bound by y = VI, y = 0, and r = 4 if the density is given by p(x, y) = kry. (Answ: (7,7) = (3, 8/7)) the ce

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2 A circular wire hoop of constant density 8=3 lies along the circle x² + y² = 7a² in the xy-plane. Find the hoop's moment of inertia, I2, about the z-axis. The hoop's moment of inertia about the z-axis is l₂ = (Type an exact answer, using it as needed.)