Use integration to determine the moment of inertia of a thin uniform disk of mass M and radius R for rotation about a diameter. Check your answer by referring to Table 9-1.

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Table 9-1 Moments of Inertia of Uniform Bodies of Various Shapes Cylindrical shell about Cylindrical shell about diameter through center Thin rod about Thin spherical shell about perpendicular line through center axis diameter Solid cylinder about axis 1=MR I=ML? Solid cylinder about diameter through center Thin rod about Solid sphere about diameter perpendicular line through one end R. 1- M Hollow cylinder about axis 1= MR 1= MI2 Solid rectangular parallel- piped about axis through center perpendicular to face